library(readxl)
telecom <- read_excel("~/Telco-customer-churn.xlsx")
str(telecom)
## tibble [999 × 5] (S3: tbl_df/tbl/data.frame)
## $ Churn : chr [1:999] "No" "No" "Yes" "No" ...
## $ SeniorCitizen : num [1:999] 0 0 0 0 0 0 0 0 0 0 ...
## $ tenure : num [1:999] 1 34 2 45 2 8 22 10 28 62 ...
## $ MonthlyCharges: num [1:999] 29.9 57 53.9 42.3 70.7 ...
## $ TotalCharges : num [1:999] 29.9 1889.5 108.2 1840.8 151.7 ...
attach(telecom)
#Get the Correlations between the measurements
cor(telecom[-1])
## SeniorCitizen tenure MonthlyCharges TotalCharges
## SeniorCitizen 1.00000000 -0.02896797 0.1819430 0.05224135
## tenure -0.02896797 1.00000000 0.2497981 0.83653519
## MonthlyCharges 0.18194300 0.24979805 1.0000000 0.63523217
## TotalCharges 0.05224135 0.83653519 0.6352322 1.00000000
# Using prcomp to compute the principal components (eigenvalues and eigenvectors). With scale=TRUE, variable means are set to zero, and variances set to one
telecom_pca <- prcomp(telecom[,-1],scale=TRUE)
telecom_pca
## Standard deviations (1, .., p=4):
## [1] 1.4794627 1.0353363 0.8241061 0.2451901
##
## Rotation (n x k) = (4 x 4):
## PC1 PC2 PC3 PC4
## SeniorCitizen 0.08960417 -0.88666415 0.45354733 0.009623196
## tenure 0.56498847 0.31234448 0.51103948 -0.567509999
## MonthlyCharges 0.48563207 -0.32776108 -0.72919909 -0.353557414
## TotalCharges 0.66099970 0.09402283 0.03744529 0.743530060
summary(telecom_pca)
## Importance of components:
## PC1 PC2 PC3 PC4
## Standard deviation 1.4795 1.0353 0.8241 0.24519
## Proportion of Variance 0.5472 0.2680 0.1698 0.01503
## Cumulative Proportion 0.5472 0.8152 0.9850 1.00000
# sample scores stored in telecom_pca$x
# singular values (square roots of eigenvalues) stored in sparrow_pca$sdev
# loadings (eigenvectors) are stored in telecom_pca$rotation
# variable means stored in telecom_pca$center
# variable standard deviations stored in telecom_pca$scale
# A table containing eigenvalues and %'s accounted, follows
# Eigenvalues are sdev^2
(eigen_telecom <- telecom_pca$sdev^2)
## [1] 2.18880975 1.07192119 0.67915089 0.06011817
names(eigen_telecom) <- paste("PC",1:4,sep="")
eigen_telecom
## PC1 PC2 PC3 PC4
## 2.18880975 1.07192119 0.67915089 0.06011817
sumlambdas <- sum(eigen_telecom)
sumlambdas
## [1] 4
propvar <- eigen_telecom/sumlambdas
propvar
## PC1 PC2 PC3 PC4
## 0.54720244 0.26798030 0.16978772 0.01502954
cumvar_telecom <- cumsum(propvar)
cumvar_telecom
## PC1 PC2 PC3 PC4
## 0.5472024 0.8151827 0.9849705 1.0000000
matlambdas <- rbind(eigen_telecom,propvar,cumvar_telecom)
rownames(matlambdas) <- c("Eigenvalues","Prop. variance","Cum. prop. variance")
round(matlambdas,4)
## PC1 PC2 PC3 PC4
## Eigenvalues 2.1888 1.0719 0.6792 0.0601
## Prop. variance 0.5472 0.2680 0.1698 0.0150
## Cum. prop. variance 0.5472 0.8152 0.9850 1.0000
summary(telecom_pca)
## Importance of components:
## PC1 PC2 PC3 PC4
## Standard deviation 1.4795 1.0353 0.8241 0.24519
## Proportion of Variance 0.5472 0.2680 0.1698 0.01503
## Cumulative Proportion 0.5472 0.8152 0.9850 1.00000
telecom_pca$rotation
## PC1 PC2 PC3 PC4
## SeniorCitizen 0.08960417 -0.88666415 0.45354733 0.009623196
## tenure 0.56498847 0.31234448 0.51103948 -0.567509999
## MonthlyCharges 0.48563207 -0.32776108 -0.72919909 -0.353557414
## TotalCharges 0.66099970 0.09402283 0.03744529 0.743530060
print(telecom_pca)
## Standard deviations (1, .., p=4):
## [1] 1.4794627 1.0353363 0.8241061 0.2451901
##
## Rotation (n x k) = (4 x 4):
## PC1 PC2 PC3 PC4
## SeniorCitizen 0.08960417 -0.88666415 0.45354733 0.009623196
## tenure 0.56498847 0.31234448 0.51103948 -0.567509999
## MonthlyCharges 0.48563207 -0.32776108 -0.72919909 -0.353557414
## TotalCharges 0.66099970 0.09402283 0.03744529 0.743530060
## Sample scores stored in sparrow_pca$x
telecom_pca$x
## PC1 PC2 PC3 PC4
## [1,] -2.015467453 0.3063516984 0.0120502201 0.3952287653
## [2,] -0.286167867 0.5013439720 0.0615892254 -0.0753083935
## [3,] -1.580345244 0.0591421382 -0.5512321189 0.1140939064
## [4,] -0.287614123 0.7983943370 0.6445959152 -0.1696250516
## [5,] -1.294160708 -0.1237314581 -0.9613547414 -0.0709556042
## [6,] -0.494044929 -0.3379468993 -1.5326506543 -0.3329395336
## [7,] -0.020111087 0.0003749667 -0.9685190929 -0.1613687025
## [8,] -1.733455753 0.4319562059 0.2043525014 0.2789892675
## [9,] 0.688536938 -0.0510378498 -1.2097481522 -0.1275878542
## [10,] 0.800699638 0.9284002528 0.6841006823 -0.1865781716
## [11,] -1.254566657 0.2600970846 -0.2216823424 0.0644229830
## [12,] -1.764971394 0.6268866250 0.5916904672 0.2774977466
## [13,] 2.061385552 0.4838318990 -0.4400631575 0.0956542225
## [14,] 1.724378831 0.3072806955 -0.7177116306 0.0522494039
## [15,] 0.527494462 -0.1112877649 -1.2945144595 -0.1843081668
## [16,] 3.161504599 0.5720136417 -0.4917171390 0.4115436863
## [17,] -0.716173101 1.0901673293 1.3032764892 -0.3397861962
## [18,] 2.952410314 0.6478858084 -0.2992142283 0.2764189167
## [19,] -1.254731788 0.1623572800 -0.4124580865 0.0517707540
## [20,] -0.052469384 -0.0261847489 -1.0136995538 -0.1778530396
## [21,] -1.611728253 -2.1930906514 0.9970540300 0.3085286329
## [22,] -1.878281489 0.5620845058 0.4865222098 0.3184532575
## [23,] -2.175779144 0.4122570318 0.2483958170 0.5067450736
## [24,] 0.775447113 0.8376438460 0.5105457067 -0.1338228327
## [25,] 0.410974980 0.7056174597 0.3236927933 -0.0983047154
## [26,] -0.507827005 0.4543022412 0.0135374770 -0.0810125188
## [27,] 1.525172980 0.3179618635 -0.6575552351 0.0560433902
## [28,] -2.009683010 0.3025303719 0.0035222862 0.3912049809
## [29,] 2.415256278 0.7991045643 0.1058810951 0.1186320774
## [30,] -0.777763717 0.1696083634 -0.4906300199 -0.0370124895
## [31,] 2.848230035 -1.6564358066 1.1668468777 0.2246353601
## [32,] -0.641013427 -2.7867310927 -0.3417486462 -0.3284125213
## [33,] -0.300560723 0.3117621795 -0.3071772993 -0.0288213652
## [34,] -2.174952795 0.4117111280 0.2471775407 0.5061702472
## [35,] -1.519177173 -2.2542318748 0.8606070875 0.2441480838
## [36,] 2.827024440 0.7296306943 -0.1149545366 0.2914726586
## [37,] -1.194294975 -0.0682028508 -0.8724635335 -0.0740242687
## [38,] 0.756572527 0.5250342636 -0.0992482896 -0.0213891894
## [39,] 0.995843188 0.0282164677 -1.1156929653 -0.1195278411
## [40,] -0.372576730 -0.2687303412 -1.4222942619 -0.2876389053
## [41,] -1.361697679 0.2221115384 -0.2755626470 0.1014410539
## [42,] 1.595061949 0.9430453465 0.5533983805 -0.0736439939
## [43,] -1.686527850 0.6235121074 0.5699017654 0.2630821071
## [44,] 1.605413825 0.7377433815 0.1493460653 -0.0429488503
## [45,] -0.714410979 -0.0113787300 -0.8552542721 -0.1177632548
## [46,] 1.086026186 0.4712426940 -0.2680799863 -0.0881353262
## [47,] -1.658263057 0.1090959181 -0.4392579796 0.1648477748
## [48,] -1.134762350 -0.2330839393 -1.2040775207 -0.1910210350
## [49,] 1.167167537 0.5738663650 -0.0853678670 0.0005600547
## [50,] 1.311538924 0.9603726853 0.6458001905 -0.1921306285
## [51,] 1.264868979 -2.0625593971 0.6907915360 -0.0149786634
## [52,] -0.168370241 -0.2188635628 -1.3651104889 -0.2895317085
## [53,] -0.085154857 -2.1475877081 0.7917325457 -0.0363147592
## [54,] -0.614912060 -2.5298658743 0.1513254615 -0.1432407568
## [55,] 1.580551201 -1.6543390313 1.4266039081 -0.0209865789
## [56,] 0.176758767 -2.5201212919 0.0148139888 -0.1829799378
## [57,] 2.346069747 0.5803719891 -0.3096712143 0.1944602172
## [58,] 3.020282165 -1.8392739689 0.7738886278 0.2966004227
## [59,] -1.093507929 0.8111109188 0.8255104785 -0.0206660269
## [60,] 3.124480162 0.6710979411 -0.2903972792 0.3974064804
## [61,] 1.531689184 0.3036294823 -0.6862831312 0.0287731236
## [62,] 1.870638938 0.6140627227 -0.1478439577 0.0985073036
## [63,] 0.648254123 1.1866591365 1.2240615826 -0.4203028134
## [64,] -0.961557792 0.2894863205 -0.2211229268 0.0176449277
## [65,] -0.545892972 -0.2663085838 -1.3834428268 -0.2818011253
## [66,] -1.169962034 -0.1577506121 -1.0513963954 -0.1181469042
## [67,] 0.875427786 0.4968895086 -0.1769417601 -0.0595475609
## [68,] 0.182493361 0.2447198211 -0.5327578437 -0.0720772747
## [69,] -0.796456606 1.0666790373 1.2727579581 -0.3180565883
## [70,] -0.750675757 -0.0930231842 -1.0075922102 -0.1228832013
## [71,] -1.698149465 0.0967246467 -0.4557678685 0.1744954540
## [72,] -0.700659398 1.0956912830 1.3104807748 -0.3148137478
## [73,] 3.032428488 -1.8980463204 0.6562547371 0.3124827647
## [74,] -0.313836135 1.1931437520 1.4280892831 -0.4804957131
## [75,] -1.364614999 -0.0421342756 -0.7891642665 -0.0121639001
## [76,] 2.554954116 -2.0261799036 0.5025524213 0.1964623697
## [77,] 0.197136523 0.6995581852 0.3535888524 -0.0745083433
## [78,] -1.322542296 0.1413066356 -0.4410049403 0.0890350495
## [79,] 0.217664019 -2.1274182062 0.7726062771 -0.0961275654
## [80,] -0.734366957 0.9524571386 1.0342366316 -0.1787310509
## [81,] -1.197382016 -0.2340930443 -1.1940432895 -0.1738493029
## [82,] -1.296764834 0.2274303565 -0.2778753067 0.0958974213
## [83,] -1.008206279 -0.0953456690 -0.9611949560 -0.1256688903
## [84,] 1.361647046 0.1888972503 -0.8759652645 -0.0193031968
## [85,] -0.806959336 1.0558336138 1.2528522851 -0.2813738779
## [86,] -0.448546799 -0.3174794868 -1.5019068907 -0.3197269722
## [87,] -0.084717836 0.4703519543 -0.0392572419 -0.0536551817
## [88,] -0.797431545 1.0412029346 1.2214304455 -0.2372032057
## [89,] -0.891905672 1.0183499064 1.1951683772 -0.2254186136
## [90,] -1.031259395 0.6564413875 0.5098277540 0.0270728460
## [91,] 0.227101041 0.2038970410 -0.6216515858 -0.0591512269
## [92,] -1.032457656 -2.5757692015 0.1430423631 -0.0944246254
## [93,] 1.987686410 0.7651075091 0.1239313568 0.1167016622
## [94,] 2.806811496 0.5133466217 -0.5333892179 0.2727432484
## [95,] 2.903210552 0.7271987352 -0.1359404036 0.3470841182
## [96,] -0.708173758 -0.0563325608 -0.9437915035 -0.1449897800
## [97,] 1.543929464 0.9763055519 0.6292716107 -0.1089530202
## [98,] -2.042972026 0.4566118480 0.3103904728 0.4350686525
## [99,] -0.686131807 1.0897963793 1.2961226931 -0.3165244945
## [100,] 0.606006347 -2.4340735414 0.0971351316 -0.1313806771
## [101,] -2.174952795 0.4117111280 0.2471775407 0.5061702472
## [102,] -2.187348029 0.4198996847 0.2654516848 0.5147926422
## [103,] 0.918938002 0.2052854759 -0.7556317176 -0.0585346918
## [104,] 0.828260114 -1.3164589611 2.2411930707 -0.2766375917
## [105,] 3.004049207 0.5833891941 -0.4377168502 0.3807084725
## [106,] -1.994145410 0.4204330920 0.2309257221 0.3922088180
## [107,] 2.910881473 0.6851658542 -0.2177366027 0.2579300175
## [108,] -1.044980444 0.7303122424 0.6580689327 -0.0255384601
## [109,] 1.113535949 0.2883479476 -0.6316082014 -0.0625671835
## [110,] -0.182569918 1.3696846049 1.7513460190 -0.6718857738
## [111,] 1.806754913 0.4673260818 -0.4213335735 0.0630347745
## [112,] 0.473311559 0.7644325971 0.4269041449 -0.1240317493
## [113,] 1.079176733 0.3192866846 -0.5652398537 -0.0199814513
## [114,] 0.624327885 -2.0273332320 0.8865403656 -0.0308186348
## [115,] 0.802448837 0.9679188640 0.7620389149 -0.2349692600
## [116,] -0.932457938 -0.3170301421 -1.4060826680 -0.2887548140
## [117,] -0.881816122 0.7789851697 0.7217833082 -0.0630673719
## [118,] -0.368163059 -0.3092994349 -1.5020791769 -0.3063862092
## [119,] -1.021001971 0.9439411638 1.0735904064 -0.1492104927
## [120,] 0.088899116 0.1143871675 -0.7671133245 -0.1638923674
## [121,] 1.959011199 0.4578647766 -0.4705680350 0.0940391395
## [122,] -2.026197593 0.4729935049 0.3395070540 0.4159711657
## [123,] -1.188782751 -0.1484856985 -1.0296909860 -0.1122392064
## [124,] -1.447591995 0.1665799333 -0.3674576470 0.1157125107
## [125,] -2.083725783 0.4441172020 0.2938314490 0.4437406886
## [126,] 0.539725647 0.1848646509 -0.7205916833 -0.0605840051
## [127,] 0.209918439 -2.2003618683 0.6307395561 -0.0586370421
## [128,] -0.010898566 1.3390376628 1.6560687648 -0.6036411741
## [129,] -2.182389936 0.4166242621 0.2581420271 0.5113436842
## [130,] 1.396133635 -1.3335566399 2.0941270073 -0.2082934779
## [131,] -0.488380801 -0.1085994906 -1.0891420399 -0.1568600231
## [132,] -0.576201423 0.3540315690 -0.1703852335 -0.0147272045
## [133,] 0.757771042 1.0433573449 0.9199122068 -0.3088633185
## [134,] -1.922916373 0.2452104750 -0.1243967224 0.3308482161
## [135,] -1.742382162 0.1621482838 -0.3200446092 0.2176521793
## [136,] -0.791376856 0.9282986842 0.9974460071 -0.1398480704
## [137,] -0.275699196 0.1604626277 -0.6069323676 -0.0731386512
## [138,] -0.376504769 1.2566716754 1.5656327046 -0.5261301134
## [139,] -0.576670736 1.1707003910 1.4342995777 -0.3937585278
## [140,] -1.102697315 -2.5293673802 0.2465958462 -0.0455643873
## [141,] 2.637556123 -1.5669191859 1.3842277020 0.1888827841
## [142,] -1.031083507 -0.0361726080 -0.8419731597 -0.0795512270
## [143,] 2.224966267 0.5258663614 -0.3905755385 0.1131078737
## [144,] 1.824074123 0.7191511070 0.0684508781 0.0206287085
## [145,] 0.223919674 -1.0690561234 2.8500292312 -0.5490385180
## [146,] 2.412380218 0.6164685312 -0.2521123012 0.1901086577
## [147,] -2.127246954 0.4451612849 0.3036825113 0.4808911428
## [148,] -1.754341192 0.1338461038 -0.3729250820 0.2135836445
## [149,] -0.242980107 0.3699008128 -0.2042353704 -0.0598981756
## [150,] -0.751647226 0.0909294433 -0.6492204286 -0.0550592777
## [151,] -1.073099568 -0.0076498994 -0.7785687452 -0.0485870504
## [152,] -0.640030879 -0.3063633944 -1.4425781495 -0.3087514494
## [153,] 3.111701929 0.6419525586 -0.3461887078 0.4604697940
## [154,] 1.786414072 0.6712071826 -0.0178471279 0.0211034744
## [155,] -2.042218618 0.4839835491 0.3639012414 0.4280368175
## [156,] -0.565777248 -0.0432490520 -0.9464418700 -0.1404773148
## [157,] -0.137336369 0.0493816447 -0.8499160814 -0.1442996565
## [158,] -1.581914961 0.6931113543 0.6875625870 0.1563249540
## [159,] -0.827824399 0.1591071012 -0.5013908336 -0.0312876590
## [160,] -1.813761641 0.4742723869 0.3022753840 0.3105090355
## [161,] -1.105125107 0.2010771358 -0.3662922662 0.0504969156
## [162,] -0.277685139 0.0339356276 -0.8522100655 -0.1525261096
## [163,] -1.315154533 -0.1134487617 -0.9372422605 -0.0644836397
## [164,] 1.019911639 0.6398949025 0.0736162178 -0.0375695116
## [165,] -1.878916383 0.5420275733 0.4469341284 0.3421662599
## [166,] -0.242720302 1.3264397073 1.6773555496 -0.6090995206
## [167,] -1.210277456 -0.0957504472 -0.9230417556 -0.0796099086
## [168,] 2.362522478 0.8075262451 0.1332558771 0.0954185136
## [169,] 0.533272788 -1.4299135605 2.0763220454 -0.2129601398
## [170,] -1.742987721 0.6107737100 0.5562482640 0.2586000645
## [171,] 0.839076685 0.3833241167 -0.3916082964 -0.0674157512
## [172,] -0.720591805 -0.4893079825 -1.7815320167 -0.4397049858
## [173,] -0.540357577 -0.0535656476 -0.9715687177 -0.1434751867
## [174,] 1.661339506 0.4531497085 -0.4201193144 0.0536221318
## [175,] -1.279821564 0.8242893656 0.8876622997 -0.0008657922
## [176,] -1.130555556 0.8091583715 0.8297371924 -0.0548175517
## [177,] -0.408013662 -2.3527082303 0.4550920136 -0.0634476390
## [178,] -0.743385170 -2.5017623018 0.2310042629 -0.1128923886
## [179,] -0.028474511 -0.2818951271 -1.5153215325 -0.3202128601
## [180,] -0.446593399 1.2140034675 1.4948745044 -0.4700099121
## [181,] -2.013814755 0.3052598908 0.0096136676 0.3940791126
## [182,] -1.760125634 0.1376674302 -0.3643971480 0.2176074288
## [183,] -0.785685539 -0.1784065725 -1.1658501246 -0.2051752464
## [184,] 0.143094098 0.3168652298 -0.3837755166 -0.0795021588
## [185,] -0.627242566 -0.0394498337 -0.9274866262 -0.1114766533
## [186,] -2.098928694 0.3614879802 0.1350961236 0.4532862247
## [187,] -0.938926300 0.3459076749 -0.1154348647 0.0243347932
## [188,] -1.945864424 0.3276573170 0.0406986193 0.3599807990
## [189,] -1.845639560 0.5780694231 0.5114773223 0.3111870300
## [190,] -0.013645536 0.6008614722 0.2017472848 -0.0492099881
## [191,] 0.532751459 0.5036226535 -0.0964845987 -0.0404131894
## [192,] -0.763753011 -0.2802378127 -1.3676905617 -0.2790763147
## [193,] -0.241701043 1.3285750295 1.6812085557 -0.6034399477
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## [438,] 3.408500081 0.6245864092 -0.4400342944 0.5198183099
## [439,] 0.638502621 0.2056759448 -0.6991462151 -0.0735459128
## [440,] -1.598987594 0.0312161930 -0.6019610212 0.1055162942
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## [444,] -0.732085263 0.1841304078 -0.4712618377 -0.0371362459
## [445,] 0.443198603 0.3126380992 -0.4517976587 -0.0574094940
## [446,] 2.403876406 0.4776093588 -0.5224646571 0.2169309421
## [447,] -1.359346405 -0.1270959033 -0.9552611401 -0.0611833419
## [448,] -0.573228064 1.0521170270 1.2000464619 -0.3113763418
## [449,] -0.591232088 -0.2867533777 -1.4141775823 -0.2948348188
## [450,] 3.021994943 0.6830579553 -0.2455994728 0.3422993016
## [451,] -0.197906966 1.2223658500 1.4618922107 -0.4606247013
## [452,] -0.209341868 -2.1966241595 0.7204398777 -0.0380387927
## [453,] 0.848218582 0.8627173863 0.5456990388 -0.1579850044
## [454,] 0.066115975 0.1755639511 -0.6440909327 -0.1131558173
## [455,] -0.336113247 1.1786331612 1.4037213320 -0.4615705502
## [456,] 0.427460789 -0.1169553180 -1.2853346237 -0.2077174875
## [457,] 0.415018801 0.0679562601 -0.9241517468 -0.0772211680
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## [459,] -2.150278386 0.4272261649 0.2729463859 0.4914460510
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## [465,] 3.664449559 -1.7923804047 0.7339511122 0.5015545866
## [466,] 0.522505972 1.1772706394 1.2301852470 -0.4030795561
## [467,] 2.716104695 -1.8169864605 0.8787019765 0.2424903866
## [468,] 2.469786466 0.8141590330 0.1228861750 0.1965185902
## [469,] -0.955326849 0.9912891509 1.1542192917 -0.1982604541
## [470,] -1.114668310 0.2003831248 -0.3655677951 0.0412665286
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## [472,] -1.599813943 0.0317620968 -0.6007427449 0.1060911205
## [473,] -1.025952606 -0.0114954697 -0.7945398509 -0.0891807614
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## [475,] -1.274232466 -0.1833239927 -1.0807435962 -0.1203904541
## [476,] -0.143678059 0.1189313633 -0.7129770338 -0.1310873587
## [477,] 0.536500814 -2.0525579928 0.8543294070 -0.0190788094
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## [479,] -0.726151046 -0.3519121990 -1.5139101565 -0.3417264690
## [480,] -0.781912460 0.0932588786 -0.6382840532 -0.0740598282
## [481,] -1.896698650 0.5521036461 0.4699634540 0.3507464167
## [482,] -0.082609785 0.8158024990 0.6382360894 -0.1747758820
## [483,] -0.028423837 -2.3448391950 0.3960366812 -0.0895563879
## [484,] 3.184114370 0.6663115833 -0.3123208028 0.4343994170
## [485,] -0.796080886 -0.1672797593 -1.1424023339 -0.1882858623
## [486,] 2.252905439 0.8523075736 0.2421691834 0.1090109385
## [487,] -0.154616411 -0.2308395468 -1.3908982002 -0.3056519804
## [488,] 2.340036838 0.8102988297 0.1433678740 0.0836645424
## [489,] -1.280016908 -0.1795026662 -1.0722156623 -0.1163666697
## [490,] 2.512396435 0.5356958751 -0.4305530109 0.2266058228
## [491,] -1.494985556 0.0029490050 -0.6767006534 0.0551632265
## [492,] -1.237622292 -0.1647842795 -1.0517684192 -0.1186799220
## [493,] 1.267859891 -1.5461613875 1.7014599257 -0.0962765962
## [494,] -2.171647400 0.4095275129 0.2423044356 0.5038709419
## [495,] -1.058855892 0.4543663216 0.1200718340 0.0346380592
## [496,] -0.388707308 0.3782372678 -0.1600257651 -0.0185136216
## [497,] -0.211680600 1.3415332719 1.7009548083 -0.6196723752
## [498,] -1.676064236 -2.0162240967 1.3540320509 0.3791472849
## [499,] -0.281294057 -0.2709420243 -1.4446207224 -0.2891167139
## [500,] 1.257730880 -0.0658941382 -1.3513446892 -0.1228030889
## [501,] 2.278696143 -1.5297894937 1.5305557843 0.0548529850
## [502,] 1.434933438 0.9733438419 0.6455342650 -0.1334176019
## [503,] 1.268504013 0.5312244136 -0.1884248203 -0.0148250648
## [504,] 1.920925370 0.8440392592 0.2932045296 0.0330106199
## [505,] 0.209019199 -2.4789164457 0.0894203126 -0.2030676589
## [506,] -0.768218171 -0.0616194782 -0.9424670052 -0.1354517117
## [507,] -0.907988452 -0.3806208401 -1.5340698833 -0.3436118700
## [508,] -0.942389187 -0.1663238727 -1.1121416212 -0.1641028188
## [509,] -2.180737238 0.4155324545 0.2557054746 0.5101940316
## [510,] 0.222646044 -2.4796319030 0.0851319122 -0.1937568110
## [511,] 2.407741051 0.4802126479 -0.5168510017 0.1562334800
## [512,] -0.871838925 -2.5108722067 0.2382397447 -0.0972081984
## [513,] 2.166835286 0.4124569284 -0.6017499108 0.1578198741
## [514,] 0.518969956 0.0735808325 -0.9327752879 -0.1204672765
## [515,] 1.275796804 0.1447137337 -0.9447518034 -0.0489658882
## [516,] -0.565077168 0.4407247539 -0.0030253423 -0.0183301915
## [517,] -0.950971276 -2.4650718654 0.3425545501 -0.0568466149
## [518,] 0.104039221 -2.1776060385 0.6968515989 -0.0919880235
## [519,] -1.855949878 0.5619437973 0.4814618413 0.3360513707
## [520,] 2.726633388 0.5956142245 -0.3563548668 0.2555524148
## [521,] -0.374523696 -1.9138287633 1.3054844333 -0.0172428817
## [522,] 1.472148386 0.5690059691 -0.1556439438 0.0251292071
## [523,] -0.271709891 0.1530687225 -0.6218874377 -0.0867034619
## [524,] 0.873523356 0.0944115336 -0.9632211678 -0.0675719682
## [525,] 1.504387949 0.4692410532 -0.3572348641 0.0338841150
## [526,] 3.657915782 -1.7893291126 0.7411715082 0.5032311263
## [527,] 1.897145736 0.5354393211 -0.3064122557 0.0808995548
## [528,] -1.217553028 0.8738065742 0.9731585577 -0.0477302733
## [529,] 2.257587627 -1.9278276712 0.7539055291 0.1808899573
## [530,] -1.500482593 0.7107920465 0.7067604040 0.1223484965
## [531,] -0.218434082 1.3372554018 1.6942467846 -0.6347908280
## [532,] -1.137368632 -0.2241664155 -1.1865139261 -0.1728918208
## [533,] 3.132456689 -1.7873653189 0.8517569544 0.3649002674
## [534,] -1.104004587 -0.2957801715 -1.3317085083 -0.2388046784
## [535,] -0.508759846 -0.1686178984 -1.2006935732 -0.2395999977
## [536,] 1.681474070 0.7260052685 0.1106418290 -0.0085398809
## [537,] -0.265534027 0.4750241259 0.0054947675 -0.0487320175
## [538,] 2.542959902 0.7175629035 -0.0814462170 0.2453008437
## [539,] 1.573912241 0.6952563537 0.0706530929 0.0445414502
## [540,] 3.329555277 0.6259625162 -0.4204697944 0.4595993658
## [541,] -1.149886328 0.1368638489 -0.4820895853 0.0083838179
## [542,] -2.185695331 0.4188078772 0.2630151322 0.5136429896
## [543,] -0.665396450 -0.1631601264 -1.1596321568 -0.2134956610
## [544,] -1.323252191 0.3087103092 -0.1142455534 0.1195444407
## [545,] 0.290128469 0.2914018738 -0.4624028324 -0.0889717641
## [546,] 0.702260442 0.2992556891 -0.5284702887 -0.0890057069
## [547,] 2.604507411 0.5641837788 -0.3930390173 0.2257021801
## [548,] 2.025966641 -2.0434209587 0.5743165887 0.1511561407
## [549,] -1.779151384 0.6049029925 0.5513350633 0.2859744556
## [550,] 3.202674133 0.6450675148 -0.3568125881 0.4011198728
## [551,] 3.362025767 0.5974089062 -0.4818847834 0.4209064894
## [552,] -0.631283339 1.1475463826 1.3989098473 -0.3506745807
## [553,] -1.443220224 0.6498755796 0.5768356227 0.0998656887
## [554,] 0.252550667 0.2487772204 -0.5385754710 -0.0763696748
## [555,] 0.961174074 0.7279292959 0.2585249782 -0.0941830860
## [556,] -2.179910889 0.4149865507 0.2544871983 0.5096192052
## [557,] 0.263281260 0.4357845112 -0.1754111369 -0.0619315910
## [558,] -0.921399911 0.0200890789 -0.7537908635 -0.0730805508
## [559,] -1.694017720 0.0939951278 -0.4618592498 0.1716213223
## [560,] 2.229702111 0.3975152459 -0.6437317244 0.1743794328
## [561,] -2.054286986 0.4024636418 0.2066085748 0.4426126170
## [562,] -1.091137141 -0.0348263727 -0.8279982987 -0.0549800251
## [563,] 2.122587928 0.5131676009 -0.3957788717 0.1415753188
## [564,] -1.199117557 0.0214663442 -0.6974857740 -0.0139726728
## [565,] 1.673845329 0.9417095077 0.5354241958 -0.0831643143
## [566,] -0.053270584 -0.2396443997 -1.4294351101 -0.2443047012
## [567,] 1.827997486 0.9284739694 0.4771071436 0.0105042169
## [568,] 0.913308574 0.1067684114 -0.9467170113 -0.0773334725
## [569,] -1.502850478 0.3327956664 -0.0327369836 0.1694637405
## [570,] -0.533484371 1.2095419299 1.5035337787 -0.4801399267
## [571,] 0.544662525 -1.7209054063 1.5027342681 -0.0969280354
## [572,] -1.025617080 0.0755901997 -0.6255953298 -0.0308487862
## [573,] 1.995752636 0.4564565383 -0.4811375369 0.1203244920
## [574,] 1.074332370 -2.5032740987 -0.1308792095 -0.1216458624
## [575,] 1.546446407 0.6947299827 0.0770220702 -0.0483896148
## [576,] 0.657681147 0.0621928273 -0.9827770719 -0.1046992050
## [577,] -1.008960174 -0.0150494268 -0.8049630351 -0.0836058633
## [578,] 1.015632917 -2.2298798083 0.4133892419 -0.0367334917
## [579,] -2.155730345 0.4310947850 0.2814931548 0.4958438319
## [580,] -1.882222441 0.5721390745 0.5065403730 0.3380898602
## [581,] -1.264316279 -0.1898748380 -1.0953629115 -0.1272883700
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## [583,] -2.194785170 0.4248128188 0.2764161712 0.5199660792
## [584,] -2.120650619 0.4407919984 0.2939354822 0.4762762714
## [585,] -0.850660892 -2.6958680332 -0.1249784168 -0.2208864184
## [586,] 0.646164920 0.7186945199 0.3025968154 -0.0890576214
## [587,] -2.066710087 0.4658407485 0.3330824057 0.4369493931
## [588,] 2.864111448 0.7448577721 -0.0938772496 0.3557554938
## [589,] 2.481246350 0.7971493956 0.0865134335 0.2368451888
## [590,] 3.258766168 0.6318159490 -0.3941178360 0.4160761643
## [591,] -0.739914165 0.9742884937 1.0785348542 -0.2033806311
## [592,] 1.830504634 0.7213294677 0.0697458803 0.1004284995
## [593,] 0.225588535 0.1738268073 -0.6786662511 -0.1285483559
## [594,] -1.755167541 0.1343920076 -0.3717068057 0.2141584709
## [595,] -1.050844002 0.1244773357 -0.5254829700 -0.0099394510
## [596,] -1.011641489 0.2576882687 -0.2739673362 0.0447623361
## [597,] -1.307500380 -0.0385909949 -0.7931849131 -0.0280062689
## [598,] 1.431220027 0.4614239571 -0.3579188942 0.0271557634
## [599,] -0.310959295 1.2726927788 1.5835961660 -0.5069150169
## [600,] -0.618218890 0.0522521294 -0.7501250237 -0.1054076855
## [601,] -2.148285852 0.4281730361 0.2743243504 0.4951917175
## [602,] 1.582172879 0.8367979518 0.3476514870 -0.0460946531
## [603,] 1.697947741 0.2097854109 -0.9023847965 0.0190778336
## [604,] 1.019238499 -0.0296192361 -1.2339546952 -0.0924963473
## [605,] 2.277235189 0.8272401224 0.1891486453 0.0716913492
## [606,] 0.541065110 0.3373005640 -0.4228132369 -0.0623694426
## [607,] 0.088344264 0.8343382509 0.6413331292 -0.2046892586
## [608,] 3.369738816 0.6124384117 -0.4548809847 0.4611739286
## [609,] 2.861716043 -1.8287198570 0.8265609058 0.2630114464
## [610,] -1.768292598 0.4149956299 0.1780079596 0.2822821784
## [611,] -1.079432495 0.0479054609 -0.6697955195 0.0026014287
## [612,] -0.302328719 1.2812815617 1.5996005170 -0.5502166827
## [613,] 1.900456036 -2.2222074274 0.2514583020 0.0632679446
## [614,] 0.724000688 0.6281323774 0.1102487099 -0.0925537933
## [615,] -1.214170222 0.2991419913 -0.1529405607 0.0459653493
## [616,] -1.885499395 0.4513362250 0.2709758768 0.3403470408
## [617,] 2.900554160 -1.7819984831 0.9087960118 0.3304108207
## [618,] 1.600556406 0.5787728150 -0.1616169279 0.0108979220
## [619,] -0.945466070 -0.1315356478 -1.0436667744 -0.1573909752
## [620,] -1.396189849 -2.0105968858 1.3120994846 0.2679512518
## [621,] 2.039311129 0.6282299871 -0.1540661748 0.1265587455
## [622,] 0.730658097 0.3292327082 -0.4759236650 -0.0679504223
## [623,] -1.638517480 0.6723280793 0.6571204828 0.2031879319
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## [625,] 0.275487690 -0.0098006453 -1.0469171901 -0.1563791411
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## [627,] 2.883492436 -1.8076460256 0.8635513765 0.2585665528
## [628,] 3.459590282 -1.7631369929 0.8336737304 0.4035000740
## [629,] 1.603114530 -1.9556835434 0.8308775158 0.0805359074
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## [632,] 2.464690667 0.8114438502 0.1188022352 0.1862734946
## [633,] -1.922404657 0.5298074069 0.4314852843 0.3492667075
## [634,] -0.088247863 0.6174510895 0.2493897309 -0.0714485531
## [635,] 2.681607106 0.5691796817 -0.4000571567 0.2988891466
## [636,] 0.688451585 0.0479932180 -1.0164564209 -0.1122086828
## [637,] 1.588390422 0.9008362273 0.4713860351 -0.0353028724
## [638,] 2.358637105 -1.9751545714 0.6419766979 0.1546515517
## [639,] -0.672257476 -0.1535209188 -1.1397794143 -0.1971437234
## [640,] -0.101957181 1.2641317404 1.5268592720 -0.5677429452
## [641,] 0.082126335 0.6485098439 0.2764906041 -0.0734315177
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## [643,] 1.524682283 -1.9641862252 0.8314947243 -0.0016717424
## [644,] -1.665774215 0.5480510351 0.4185980847 0.2480289767
## [645,] 0.250225114 -2.4790261952 0.0803688095 -0.1702560569
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## [647,] 0.733360701 0.6274734379 0.1069836842 -0.0865381702
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## [649,] -0.105608419 -2.1664830361 0.7586122782 -0.0258688176
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## [651,] -1.275885164 -0.1822321851 -1.0783070437 -0.1192408014
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## [653,] -1.604284883 0.5814714629 0.4720886173 0.2337412753
## [654,] -1.741017171 -1.8806422082 1.6309401747 0.4253599029
## [655,] -0.509481193 -0.2610660198 -1.3797806589 -0.3104007714
## [656,] 2.232972153 0.7543464360 0.0537344779 0.1496974528
## [657,] 0.812972782 0.4706296311 -0.2165710240 -0.0297982459
## [658,] -2.153321210 0.4287836828 0.2765692771 0.4925363620
## [659,] -1.156729662 0.8912095581 0.9962492396 -0.0988715058
## [660,] -2.018932848 0.4082192097 0.2114759164 0.4143276257
## [661,] -1.445108950 0.2673032317 -0.1714902402 0.1369894646
## [662,] -2.177431842 0.4133488394 0.2508323695 0.5078947262
## [663,] 1.367403811 0.8592609603 0.4350925529 -0.0977733814
## [664,] -0.579147415 1.1716749926 1.4366894521 -0.3935357362
## [665,] -1.180627555 -0.1519698011 -1.0380846180 -0.1135962329
## [666,] -1.313089719 -0.1124916092 -0.9358602014 -0.0606566696
## [667,] -0.505065310 0.9654233043 1.0156716335 -0.2441607788
## [668,] -1.643976554 0.1775991819 -0.3087408866 0.1922377337
## [669,] 1.169102046 1.0337211608 0.8177081552 -0.2097959811
## [670,] -0.701617260 1.1122044242 1.3436531849 -0.3478401265
## [671,] -0.523295116 1.0619366735 1.2095349510 -0.3187492060
## [672,] -1.268448023 -0.1871453191 -1.0892715301 -0.1244142384
## [673,] -1.484346965 0.6446257899 0.5741714432 0.1246660278
## [674,] 0.430135923 -1.5517783514 1.8572033882 -0.1538286827
## [675,] 3.077450325 -1.8657046214 0.7097431120 0.3522378759
## [676,] -0.691618253 1.0045053521 1.1287478095 -0.2355177432
## [677,] -1.904570742 0.2671231959 -0.0850704256 0.3255529069
## [678,] -0.619702252 -0.5127103294 -1.8463272616 -0.4815243489
## [679,] 0.906755103 0.4494703300 -0.2770429071 -0.0025327888
## [680,] -1.186639480 -0.2411897934 -1.2098808811 -0.1813220452
## [681,] 1.390674210 0.7687721536 0.2516354903 -0.0054802042
## [682,] -1.360962414 -0.0402878268 -0.7864271725 -0.0050465637
## [683,] 1.516842469 -2.2339028159 0.3055597089 0.0077711199
## [684,] -1.333729588 -0.1440189205 -0.9930277046 -0.0790029582
## [685,] -1.684101533 0.0874442824 -0.4764785651 0.1647234063
## [686,] -0.604423912 1.0442991624 1.1903543312 -0.2844312734
## [687,] -1.418194032 -2.2835919274 0.7844313479 0.1888948386
## [688,] -0.389125464 1.0112963117 1.0827018384 -0.2562266775
## [689,] 1.183898927 0.5184632244 -0.1960822022 -0.0419403422
## [690,] -2.170821051 0.4089816091 0.2410861593 0.5032961156
## [691,] 0.074205758 0.2817288957 -0.4389502877 -0.0750416327
## [692,] -0.834537702 1.0279002426 1.2025478794 -0.2274368430
## [693,] -1.165519115 -0.1544648505 -1.0460843523 -0.1071318536
## [694,] -1.342602374 -1.6983571966 1.9137392396 0.1825298350
## [695,] -2.167515655 0.4067979940 0.2362130542 0.5009968103
## [696,] 2.317047742 0.8528065875 0.2293566606 0.1616052911
## [697,] -1.600302648 0.1147498462 -0.4394354471 0.1544698503
## [698,] 1.321749700 -1.9467372493 0.9053559759 0.0144780602
## [699,] 1.579207336 0.9953192003 0.6594364020 -0.1072367869
## [700,] 1.210790517 0.9292660418 0.6036672542 -0.1343938736
## [701,] 0.439287844 0.2662407856 -0.5409097678 -0.0960510437
## [702,] 0.234990959 0.1578514027 -0.7126253697 -0.0875274048
## [703,] -2.142619673 0.4210176552 0.2594642744 0.4835131502
## [704,] -1.580489627 0.1388616329 -0.3962307580 0.1553381962
## [705,] -0.082916959 0.1422332785 -0.6801035426 -0.0992017910
## [706,] 0.997861324 0.9387218314 0.6659107778 -0.2140900186
## [707,] 0.881378370 -2.4578046481 -0.0042496765 -0.1036552435
## [708,] 0.006018899 0.2526633607 -0.4826995236 -0.0562528850
## [709,] 0.069042241 0.1979371552 -0.6005777808 -0.1297783035
## [710,] -2.185695331 0.4188078772 0.2630151322 0.5136429896
## [711,] -0.274007379 0.0530352650 -0.8165792443 -0.1062673391
## [712,] -0.370339377 1.1417296028 1.3362598121 -0.3636058185
## [713,] -0.479711592 -0.0986783197 -1.0706053234 -0.1971095322
## [714,] 0.015368512 1.3182264624 1.6107485063 -0.6297554425
## [715,] 1.191172140 0.3964440509 -0.4377088509 0.0357245498
## [716,] 1.230004587 1.0457646056 0.8290831544 -0.2033252725
## [717,] 0.358314608 0.1934961176 -0.6666833808 -0.1168615425
## [718,] -0.752482592 0.4477768830 0.0476788331 -0.0132972179
## [719,] 2.179619376 -1.5672928219 1.4758666604 0.0994265889
## [720,] -2.147970441 0.4249006690 0.2680167757 0.4880247561
## [721,] -0.430995578 1.2162221541 1.4957581127 -0.4524645966
## [722,] -0.934586341 -0.2562325912 -1.2882156388 -0.2223063940
## [723,] -1.685949334 0.1662580307 -0.3228387904 0.2025472441
## [724,] 0.894142747 -2.2652004934 0.3691505784 -0.0748946393
## [725,] -1.680623950 -1.8839304789 1.6131892857 0.3966576355
## [726,] -1.429088383 0.6339094568 0.5418793347 0.1447022075
## [727,] -1.001909455 -0.1887858413 -1.1436797314 -0.1930882774
## [728,] 0.679910616 -2.2865750335 0.3699273006 -0.0861411573
## [729,] 1.543088643 0.8225504448 0.3273917753 -0.0400576963
## [730,] 1.049696523 0.3921795666 -0.4169607059 -0.0177531697
## [731,] -2.060438882 0.4634155536 0.3271122236 0.4364818479
## [732,] -0.186597645 0.1852052282 -0.5759142990 -0.0849492207
## [733,] 2.048719231 0.8955791003 0.3684967892 0.0433048950
## [734,] 0.247858324 0.0713168642 -0.8833521309 -0.1340167184
## [735,] -0.503075603 0.5360450217 0.1713463585 -0.0312524707
## [736,] 0.907073946 -0.0762188964 -1.3017017490 -0.1487501722
## [737,] 2.751283546 0.6855582725 -0.1856985633 0.2701728350
## [738,] 0.922089225 -1.9760377019 0.9278518384 -0.0241116165
## [739,] 2.745337154 -1.5754721202 1.3447902545 0.2559643959
## [740,] 0.426971904 0.6175377408 0.1493480543 -0.1457867757
## [741,] -1.140048192 -0.2311820295 -1.1993166068 -0.1909494481
## [742,] -0.411986845 -0.2929758992 -1.4615487622 -0.3045337759
## [743,] -0.302329766 1.1874193162 1.4132256794 -0.4145428661
## [744,] -1.643972230 0.2081815628 -0.2489471107 0.1918850386
## [745,] 3.428094186 -1.7563385144 0.8533959977 0.3936454341
## [746,] 3.586307177 -1.7888998191 0.7573563345 0.4467513047
## [747,] -0.944158278 -2.5491503654 0.1778102546 -0.1026244725
## [748,] -0.878537118 1.0482427045 1.2522583356 -0.2863135505
## [749,] 2.047305030 0.6652564041 -0.0836990854 0.1472279869
## [750,] -0.518047766 0.4062174657 -0.0803960985 0.0108591034
## [751,] 1.983285330 0.8529727801 0.2983366483 0.0335989639
## [752,] -1.064460315 -0.0529255034 -0.8682349912 -0.0746159835
## [753,] -0.963854549 -0.3374820463 -1.4398228535 -0.2906182365
## [754,] 0.298740306 -2.5252009458 -0.0180899107 -0.2360314581
## [755,] -0.345996608 1.2863486833 1.6186332586 -0.5737628477
## [756,] -2.124387321 0.4422508166 0.2975190655 0.4765860679
## [757,] -0.428057904 -0.0806525520 -1.0458382932 -0.1844946018
## [758,] 2.472954157 0.8059848124 0.1066194725 0.1805252313
## [759,] -2.165036608 0.4051602827 0.2325582254 0.4992723313
## [760,] -0.029688187 -0.0029776516 -0.9728568960 -0.1766546209
## [761,] -1.261342692 -0.1044042613 -0.9300642112 -0.0705020059
## [762,] 1.569625251 0.9893120871 0.6500379624 -0.1285457153
## [763,] -0.354307039 1.2731613139 1.5937914242 -0.5406315179
## [764,] -1.594732604 0.3807631152 0.0784460847 0.2045097546
## [765,] -0.287494106 0.0983480240 -0.7243230568 -0.1537444560
## [766,] -1.801751759 0.5837119553 0.5142979145 0.2894924882
## [767,] 0.501000967 0.4492214140 -0.1963638048 -0.0498388712
## [768,] -0.752287842 0.1719052450 -0.4917170020 -0.0113644777
## [769,] -1.880369068 0.5438112780 0.4506471001 0.3450452499
## [770,] -0.256461578 -0.1550976312 -1.2246156388 -0.2156215353
## [771,] -2.179910889 0.4149865507 0.2544871983 0.5096192052
## [772,] -0.842846817 -0.2729751119 -1.3383481659 -0.2563660230
## [773,] 0.653585961 0.1101683639 -0.8874586815 -0.1386034802
## [774,] 3.236907612 0.6452928753 -0.3637288991 0.4290971829
## [775,] -1.782117234 0.2195868746 -0.2005127124 0.2463115318
## [776,] -1.101132029 -0.2462133028 -1.2363297703 -0.1938092032
## [777,] 2.328374615 0.4429224276 -0.5738844398 0.1474032978
## [778,] -1.723759091 0.1515283635 -0.3442913921 0.2085134569
## [779,] 1.766798933 0.9217592201 0.4774355433 -0.0538223436
## [780,] -1.626503007 0.2007147476 -0.2669338159 0.1889701559
## [781,] -0.590954027 0.4217214443 -0.0351877482 -0.0124803322
## [782,] -1.646089483 0.0623327085 -0.5325192736 0.1382813951
## [783,] 0.311061105 1.0744357382 1.0691161408 -0.3179951819
## [784,] 1.953432764 -2.1986226649 0.2880204495 0.0198482236
## [785,] 1.157955043 1.0840108551 0.9189525063 -0.2441107897
## [786,] -0.189852042 0.4632954375 -0.0316314372 -0.0843062233
## [787,] -0.182131386 0.1380091505 -0.6683471199 -0.1186808761
## [788,] 1.658299685 0.9647724373 0.5842163662 -0.1130433018
## [789,] 0.844790437 0.8668738805 0.5543604557 -0.1513107229
## [790,] 1.718097422 0.8396726159 0.3269232479 -0.0699231335
## [791,] -1.984661766 0.5088832504 0.4019879391 0.3912734316
## [792,] 0.017621739 0.4025784924 -0.1919301933 -0.0555195966
## [793,] -1.577856377 0.2143321025 -0.2499276651 0.1891764723
## [794,] -1.402019743 -0.0528256539 -0.8030033935 0.0032839973
## [795,] 0.237963047 0.2194376944 -0.5928699404 -0.0848993476
## [796,] -1.514484261 0.6123477494 0.5161315444 0.1666985309
## [797,] -2.178258191 0.4138947432 0.2520506458 0.5084695526
## [798,] 2.222486439 0.5919214960 -0.2626077093 0.1911957956
## [799,] 2.097419072 -1.4979183454 1.6287497737 0.0513784138
## [800,] -0.398429662 -0.2903840332 -1.4595156664 -0.2877795344
## [801,] -0.995556301 0.8870605562 0.9567099166 -0.1183682895
## [802,] 0.428675364 0.6190437099 0.1503752716 -0.0713042397
## [803,] -0.867509713 -0.2200270682 -1.2306133233 -0.2257961353
## [804,] 1.936363311 0.9094523048 0.4190608681 -0.0153836574
## [805,] -0.919366763 0.2848725717 -0.2389742433 0.0410341867
## [806,] 3.050031277 0.6372242254 -0.3404923268 0.3305675558
## [807,] 1.213514445 0.1822957316 -0.8597238709 -0.0137200857
## [808,] -1.359346405 -0.1270959033 -0.9552611401 -0.0611833419
## [809,] 2.205777418 0.4658907919 -0.5052585676 0.1708220713
## [810,] 2.847600120 0.6594518806 -0.2561475903 0.2882541588
## [811,] -0.844588905 0.9173491609 0.9865066702 -0.1376680767
## [812,] -0.992189274 0.7532071641 0.6933554800 -0.0706712578
## [813,] -1.823130668 -1.9256843203 1.5582356836 0.4664494989
## [814,] 0.015231636 0.0931668542 -0.7947268842 -0.1317119758
## [815,] -1.034653249 -0.2924866378 -1.3388312167 -0.2453955409
## [816,] 2.040415272 0.4083436645 -0.5839441393 0.1167645009
## [817,] 0.422277993 -0.2392929241 -1.5219378020 -0.2801704929
## [818,] 2.222438148 0.7828295928 0.1132656344 0.0664286098
## [819,] 2.536566506 0.4998641083 -0.5070229305 0.3041523799
## [820,] 0.764170916 0.4403408043 -0.2668126413 0.0017697411
## [821,] 1.626584603 0.2826285120 -0.7466919579 0.0572906561
## [822,] -1.287315744 -0.0051380982 -0.7322479331 -0.0056590006
## [823,] -0.248379102 1.1818877416 1.3925796459 -0.4535007885
## [824,] -0.301176802 -0.1003577733 -1.1091611305 -0.1970771927
## [825,] -0.391736998 -2.7058426658 -0.2336039503 -0.2935048057
## [826,] -1.690154773 0.5312509038 0.3903157091 0.2600750127
## [827,] 1.888469307 0.6026665993 -0.1734007352 0.0869725543
## [828,] -0.611852042 0.6155715943 0.3492908063 -0.0776036313
## [829,] 1.991976537 0.2903418714 -0.8059552475 0.1588397365
## [830,] -0.980644345 0.8632440423 0.9066167596 -0.0907064609
## [831,] 1.775803697 0.9037369117 0.4396586320 -0.0177617544
## [832,] 0.718857287 0.2497411986 -0.6294059092 -0.0485606073
## [833,] -0.833687139 -2.5745070275 0.1072323590 -0.1411876764
## [834,] 2.260440877 -1.8017775193 0.9995667308 0.1901909750
## [835,] 1.337255339 0.8023705821 0.3286442865 -0.0418567368
## [836,] -1.774999915 0.1474936983 -0.3424681751 0.2279543028
## [837,] 0.399803256 0.3223881132 -0.4238938582 -0.0701186336
## [838,] -0.936380515 0.9873496770 1.1426417065 -0.1919920463
## [839,] 2.179479803 -1.9496163644 0.7276398861 0.1385179118
## [840,] 3.007587734 0.6876430897 -0.2337647485 0.3411367595
## [841,] -1.870374160 0.5632092709 0.4869701558 0.3273478706
## [842,] -1.620610449 0.4614663205 0.2408452781 0.2273380369
## [843,] -1.023022392 -0.3492787419 -1.4510995830 -0.2951376588
## [844,] -1.770685763 0.5954920279 0.5315732202 0.2714274578
## [845,] 1.904973786 0.7327121171 0.0784285267 0.0465846164
## [846,] -1.591395342 0.4257519598 0.1649955284 0.2394975009
## [847,] 2.562990804 0.7968981964 0.0699720805 0.2321600030
## [848,] 2.448714628 0.8098348109 0.1191622895 0.1698070877
## [849,] 3.439316005 0.6057491448 -0.4825666862 0.5018295425
## [850,] 1.325410808 0.5247232064 -0.2130330274 0.0160912213
## [851,] -2.064585965 0.3750610394 0.1550872316 0.4419157522
## [852,] -1.270831634 -0.0081009142 -0.7414348250 0.0008484596
## [853,] -0.237987106 1.3098001360 1.6431319218 -0.5733307816
## [854,] 2.361032923 0.5665144575 -0.3407851422 0.2447449196
## [855,] 2.329768106 0.8426739392 0.2073056695 0.1488355701
## [856,] -1.669227253 0.0776180144 -0.4984075380 0.1543765324
## [857,] 2.122174298 0.7178928761 0.0050411744 0.1175462271
## [858,] 1.525047644 1.0101725220 0.6993812932 -0.1170107675
## [859,] -1.485682414 0.7488498410 0.7791125252 0.0811161399
## [860,] 2.126009898 0.6413522184 -0.1446907270 0.0864714305
## [861,] -0.215244250 -2.2679155163 0.5828072098 -0.0650239194
## [862,] -0.830151303 -0.3721395774 -1.5331213440 -0.3316313062
## [863,] 0.114865431 -0.0540680727 -1.1012975681 -0.1765223549
## [864,] -1.039427478 -0.2001567792 -1.1587903641 -0.1792721530
## [865,] 0.189592082 1.0690363805 1.0834071178 -0.3579944511
## [866,] -2.054663910 0.4622466658 0.3236441072 0.4384648127
## [867,] 1.671397530 0.6340903128 -0.0683788776 0.0537645154
## [868,] -1.999511429 0.3731021012 0.1388666250 0.4199836450
## [869,] 2.731246468 0.7385640913 -0.0773672992 0.2348840688
## [870,] 1.969118266 0.4985090097 -0.3937557934 0.1246071431
## [871,] -0.337513664 1.2842380936 1.6127883704 -0.5717425031
## [872,] 0.535123171 0.9429095692 0.7657989874 -0.2273546168
## [873,] 1.452114263 0.2842226603 -0.7091709903 0.0603258912
## [874,] -1.865223934 0.2807446057 -0.0660609278 0.3183069556
## [875,] -0.025739745 -0.2781888926 -1.5088411669 -0.3096148870
## [876,] 0.496305932 0.7291602711 0.3532321710 -0.1158610197
## [877,] 1.054255883 0.8316512012 0.4422478896 -0.0631184354
## [878,] -0.411139432 0.5047346511 0.0933930243 -0.0981866131
## [879,] -0.214392747 -0.4181255755 -1.7425906049 -0.4297736850
## [880,] -1.238466984 -1.6361870113 2.0158575778 0.1282453932
## [881,] -0.888712772 -0.2038031161 -1.1951268988 -0.2060203744
## [882,] 2.972601376 0.5529783076 -0.4904362648 0.3562221762
## [883,] -0.319042954 0.9175777506 0.8845197895 -0.2033995207
## [884,] -2.177431842 0.4133488394 0.2508323695 0.5078947262
## [885,] -0.584445282 -2.5839786934 0.0401241403 -0.1717951582
## [886,] 0.945607898 -2.5262916568 -0.1486264625 -0.2074152378
## [887,] 0.730940347 0.2196145047 -0.6894456584 -0.1071777225
## [888,] 2.332972033 0.5665668901 -0.3331847860 0.1526488525
## [889,] 0.440689837 0.1474303782 -0.7736790271 -0.0855220156
## [890,] 1.744270485 0.3174712920 -0.7010693455 0.0216148380
## [891,] 0.513182458 -2.1509374044 0.6673023988 -0.0517576999
## [892,] -2.102234090 0.3636715954 0.1399692287 0.4555855301
## [893,] 1.657301836 0.7272110534 0.1181281041 -0.0251997308
## [894,] 0.457673081 0.0741500082 -0.9185364846 -0.1683565802
## [895,] 3.373432813 0.5830455387 -0.5132001642 0.4671910550
## [896,] 2.032276355 0.3639354795 -0.6698348771 0.1489419672
## [897,] -0.328255504 -0.2670068359 -1.4270396475 -0.3178720101
## [898,] 1.561043715 0.4167998751 -0.4723473183 0.0998332100
## [899,] -2.161418582 0.4322760103 0.2849661847 0.4939584313
## [900,] -0.463411359 -0.3063249432 -1.4774471902 -0.3063604629
## [901,] -0.150461184 -0.1279512821 -1.1926402596 -0.2084233246
## [902,] 2.213129897 0.4170516907 -0.6029226110 0.2053816336
## [903,] 1.876172251 0.7937595000 0.2039745280 0.0224979983
## [904,] -0.187329921 -2.7230819049 -0.3073816726 -0.3079960149
## [905,] -1.456756243 0.0615890460 -0.5701289830 0.0793984076
## [906,] -0.681542804 0.1933733068 -0.4630039086 -0.0453278472
## [907,] -1.976012455 0.5087866646 0.3999477410 0.3979939668
## [908,] 3.200311644 0.6227745042 -0.4002938024 0.4183765271
## [909,] -0.680013377 -2.4169255009 0.3836127106 -0.0787852819
## [910,] -0.130524791 -2.5063001911 0.1026708573 -0.1890784008
## [911,] 3.100243750 0.6862269724 -0.2563477811 0.4122658031
## [912,] -1.855501748 0.5620075408 0.4814872277 0.3365554530
## [913,] 0.037563168 1.3240372908 1.6170661759 -0.5987722294
## [914,] -1.051463681 -2.5632134146 0.1710627174 -0.0812036198
## [915,] -0.066445476 -2.2419160623 0.6048905810 -0.0957891988
## [916,] 1.562581534 1.0055597726 0.6825312407 -0.0973557726
## [917,] 0.005022434 0.1528149650 -0.6773176279 -0.0743532975
## [918,] 0.291831878 -0.1696096431 -1.3610707347 -0.2268250721
## [919,] -0.337506198 1.1724007756 1.3906571657 -0.4071188898
## [920,] -1.852374807 0.5571447559 0.4715436592 0.3280380091
## [921,] -0.598952410 0.0437140690 -0.7705400923 -0.1093096137
## [922,] 1.581207693 0.7362905590 0.1517700662 -0.0656642316
## [923,] 0.064352107 -2.3162567041 0.4335883448 -0.0897120376
## [924,] 0.131277009 0.2852660077 -0.4429733910 -0.0909327836
## [925,] -0.872901977 -2.5967344690 0.0717841867 -0.1533498350
## [926,] -0.642461298 -0.0668255623 -0.9764221225 -0.1857608718
## [927,] 2.737072439 0.6283443228 -0.2947048805 0.2684416459
## [928,] 0.289252548 0.1543543944 -0.7294585240 -0.1216225295
## [929,] -0.597043994 0.0479662073 -0.7628414505 -0.0981368143
## [930,] 0.295272782 0.2608884059 -0.5231700293 -0.0843319404
## [931,] -0.201092547 1.3683767765 1.7528268987 -0.6897123799
## [932,] -0.720861909 -2.6347547266 -0.0318613290 -0.1872757597
## [933,] -1.586777085 0.4204378584 0.1538713537 0.2311532238
## [934,] -0.757831523 -2.6221003553 0.0002017514 -0.1882438176
## [935,] -0.985695182 -0.1532439167 -1.0779073164 -0.1691896969
## [936,] 2.761538392 0.5467136091 -0.4600486051 0.3120785224
## [937,] -1.774157026 0.6036230675 0.5478227255 0.2870793416
## [938,] -1.489469632 0.7130220136 0.7086493709 0.1362408515
## [939,] -1.635417436 0.4686483749 0.2577177091 0.2317432045
## [940,] -0.109841490 0.1290519626 -0.7009395019 -0.0809912570
## [941,] 1.594222937 1.0107239990 0.6855887980 -0.0602593721
## [942,] 2.020968881 0.3909184929 -0.6144771740 0.1313520674
## [943,] -1.192758099 -0.1490511654 -1.0299161874 -0.1167109041
## [944,] -2.085159026 0.4485574577 0.3026058761 0.4526589492
## [945,] 0.759792476 -2.2518652834 0.4219295832 -0.0827485991
## [946,] 1.097492431 -2.2779460145 0.3041685749 -0.0800448092
## [947,] -1.182006938 0.8669207342 0.9524006320 -0.0348243195
## [948,] -1.489737082 -2.2367120583 0.8891760831 0.2377932994
## [949,] -0.966949186 -0.0860966589 -0.9509328610 -0.1412964984
## [950,] -0.773495578 0.3443545937 -0.1509377449 0.0141399834
## [951,] -0.956566434 0.2017682424 -0.3938953196 0.0318539189
## [952,] 0.138955666 -0.0566124143 -1.1113186655 -0.1629634439
## [953,] -1.770041822 0.1442182756 -0.3497778328 0.2245053448
## [954,] 0.023024650 1.3093005709 1.5906064351 -0.5741509567
## [955,] -1.448095094 0.0581769120 -0.5784939530 0.0786105063
## [956,] -0.048176408 0.1219639271 -0.7262088718 -0.1172889656
## [957,] 0.382809605 0.1910093508 -0.6766815486 -0.1028473314
## [958,] -1.582744705 -2.0021601059 1.3637825614 0.3465073791
## [959,] -1.705751462 0.6240949082 0.5751382004 0.2489800484
## [960,] -0.959129446 -2.3167671729 0.6315356869 0.0637824387
## [961,] 1.347199679 -1.7037073726 1.3766247038 -0.0413473129
## [962,] -1.753514843 0.1333002000 -0.3741433582 0.2130088182
## [963,] -0.238289481 -2.7370282588 -0.3245188498 -0.3108040463
## [964,] -2.027096882 0.5014570136 0.3954543752 0.4100889834
## [965,] -2.107152008 0.4314334969 0.2731936668 0.4658863165
## [966,] 1.946124762 0.8941914159 0.3863871768 0.0275454990
## [967,] -0.876649752 -0.4000471895 -1.5778377486 -0.3625169388
## [968,] -1.012279856 -0.3563754911 -1.4669371745 -0.3026104011
## [969,] 1.476775848 0.4027597603 -0.4825157740 0.0700885545
## [970,] 1.098309169 0.7482257604 0.2707576173 -0.0775367534
## [971,] -0.401736841 -1.4954627179 2.1312659205 -0.1359564325
## [972,] 1.358726322 0.7169966215 0.1568054559 -0.0091105262
## [973,] 3.017669951 0.6392555055 -0.3296746939 0.3092092010
## [974,] -1.353561963 -0.1309172298 -0.9637890741 -0.0652071262
## [975,] -0.802218360 -0.0299662256 -0.8748132303 -0.0909577743
## [976,] 2.652503815 -1.8666299566 0.7947297018 0.2182984851
## [977,] -0.288206298 0.5369433560 0.1313879884 -0.0659240909
## [978,] -1.640015899 0.6747687248 0.6620959522 0.2075198270
## [979,] -1.068402284 0.9417796786 1.0781613633 -0.1224409210
## [980,] -0.320950109 0.6639010798 0.3864184318 -0.0831255163
## [981,] -1.077561421 -0.3132490924 -1.3706933490 -0.2571991210
## [982,] -0.020574489 1.3350075411 1.6504602748 -0.6205426048
## [983,] 0.538608819 -2.1313347287 0.7007043727 -0.0566099542
## [984,] -1.390649128 0.3129926870 -0.0930961556 0.1448815820
## [985,] -2.182389936 0.4166242621 0.2581420271 0.5113436842
## [986,] -1.450317558 0.7718565412 0.8168727751 0.0919563219
## [987,] -1.242685039 0.8608802324 0.9524241437 -0.0275034102
## [988,] 1.352736248 0.6303702934 -0.0115286752 -0.0012366713
## [989,] -0.403532037 1.1416522918 1.3432350849 -0.3904123568
## [990,] -1.459926614 0.6427918515 0.5654341352 0.1401006226
## [991,] -1.814797974 0.4688174039 0.2920959682 0.2973085046
## [992,] -1.833118709 0.5752063061 0.5033310024 0.3147407406
## [993,] 0.494162723 0.2455181767 -0.5921999404 -0.0990117343
## [994,] 0.077984841 0.3799827611 -0.2479698150 -0.0583242240
## [995,] -0.544750016 -2.7384125860 -0.2673118528 -0.2810191025
## [996,] -0.124208071 1.3607365835 1.7217598857 -0.6453501650
## [997,] -1.306221341 -0.1201394316 -0.9519172619 -0.0724872845
## [998,] -0.632786400 -0.3099770403 -1.4510233731 -0.3111329011
## [999,] 0.098675866 -2.1823496189 0.6889572366 -0.1070471347
# Identifying the scores by their survival status
teletype_pca <- cbind(data.frame(Churn),telecom_pca$x)
teletype_pca
## Churn PC1 PC2 PC3 PC4
## 1 No -2.015467453 0.3063516984 0.0120502201 0.3952287653
## 2 No -0.286167867 0.5013439720 0.0615892254 -0.0753083935
## 3 Yes -1.580345244 0.0591421382 -0.5512321189 0.1140939064
## 4 No -0.287614123 0.7983943370 0.6445959152 -0.1696250516
## 5 Yes -1.294160708 -0.1237314581 -0.9613547414 -0.0709556042
## 6 Yes -0.494044929 -0.3379468993 -1.5326506543 -0.3329395336
## 7 No -0.020111087 0.0003749667 -0.9685190929 -0.1613687025
## 8 No -1.733455753 0.4319562059 0.2043525014 0.2789892675
## 9 Yes 0.688536938 -0.0510378498 -1.2097481522 -0.1275878542
## 10 No 0.800699638 0.9284002528 0.6841006823 -0.1865781716
## 11 No -1.254566657 0.2600970846 -0.2216823424 0.0644229830
## 12 No -1.764971394 0.6268866250 0.5916904672 0.2774977466
## 13 No 2.061385552 0.4838318990 -0.4400631575 0.0956542225
## 14 Yes 1.724378831 0.3072806955 -0.7177116306 0.0522494039
## 15 No 0.527494462 -0.1112877649 -1.2945144595 -0.1843081668
## 16 No 3.161504599 0.5720136417 -0.4917171390 0.4115436863
## 17 No -0.716173101 1.0901673293 1.3032764892 -0.3397861962
## 18 No 2.952410314 0.6478858084 -0.2992142283 0.2764189167
## 19 Yes -1.254731788 0.1623572800 -0.4124580865 0.0517707540
## 20 No -0.052469384 -0.0261847489 -1.0136995538 -0.1778530396
## 21 Yes -1.611728253 -2.1930906514 0.9970540300 0.3085286329
## 22 No -1.878281489 0.5620845058 0.4865222098 0.3184532575
## 23 Yes -2.175779144 0.4122570318 0.2483958170 0.5067450736
## 24 No 0.775447113 0.8376438460 0.5105457067 -0.1338228327
## 25 No 0.410974980 0.7056174597 0.3236927933 -0.0983047154
## 26 No -0.507827005 0.4543022412 0.0135374770 -0.0810125188
## 27 Yes 1.525172980 0.3179618635 -0.6575552351 0.0560433902
## 28 Yes -2.009683010 0.3025303719 0.0035222862 0.3912049809
## 29 No 2.415256278 0.7991045643 0.1058810951 0.1186320774
## 30 Yes -0.777763717 0.1696083634 -0.4906300199 -0.0370124895
## 31 No 2.848230035 -1.6564358066 1.1668468777 0.2246353601
## 32 No -0.641013427 -2.7867310927 -0.3417486462 -0.3284125213
## 33 No -0.300560723 0.3117621795 -0.3071772993 -0.0288213652
## 34 No -2.174952795 0.4117111280 0.2471775407 0.5061702472
## 35 No -1.519177173 -2.2542318748 0.8606070875 0.2441480838
## 36 No 2.827024440 0.7296306943 -0.1149545366 0.2914726586
## 37 Yes -1.194294975 -0.0682028508 -0.8724635335 -0.0740242687
## 38 No 0.756572527 0.5250342636 -0.0992482896 -0.0213891894
## 39 Yes 0.995843188 0.0282164677 -1.1156929653 -0.1195278411
## 40 Yes -0.372576730 -0.2687303412 -1.4222942619 -0.2876389053
## 41 No -1.361697679 0.2221115384 -0.2755626470 0.1014410539
## 42 No 1.595061949 0.9430453465 0.5533983805 -0.0736439939
## 43 No -1.686527850 0.6235121074 0.5699017654 0.2630821071
## 44 No 1.605413825 0.7377433815 0.1493460653 -0.0429488503
## 45 No -0.714410979 -0.0113787300 -0.8552542721 -0.1177632548
## 46 No 1.086026186 0.4712426940 -0.2680799863 -0.0881353262
## 47 No -1.658263057 0.1090959181 -0.4392579796 0.1648477748
## 48 Yes -1.134762350 -0.2330839393 -1.2040775207 -0.1910210350
## 49 No 1.167167537 0.5738663650 -0.0853678670 0.0005600547
## 50 No 1.311538924 0.9603726853 0.6458001905 -0.1921306285
## 51 No 1.264868979 -2.0625593971 0.6907915360 -0.0149786634
## 52 Yes -0.168370241 -0.2188635628 -1.3651104889 -0.2895317085
## 53 No -0.085154857 -2.1475877081 0.7917325457 -0.0363147592
## 54 Yes -0.614912060 -2.5298658743 0.1513254615 -0.1432407568
## 55 No 1.580551201 -1.6543390313 1.4266039081 -0.0209865789
## 56 Yes 0.176758767 -2.5201212919 0.0148139888 -0.1829799378
## 57 No 2.346069747 0.5803719891 -0.3096712143 0.1944602172
## 58 No 3.020282165 -1.8392739689 0.7738886278 0.2966004227
## 59 No -1.093507929 0.8111109188 0.8255104785 -0.0206660269
## 60 No 3.124480162 0.6710979411 -0.2903972792 0.3974064804
## 61 No 1.531689184 0.3036294823 -0.6862831312 0.0287731236
## 62 No 1.870638938 0.6140627227 -0.1478439577 0.0985073036
## 63 No 0.648254123 1.1866591365 1.2240615826 -0.4203028134
## 64 No -0.961557792 0.2894863205 -0.2211229268 0.0176449277
## 65 Yes -0.545892972 -0.2663085838 -1.3834428268 -0.2818011253
## 66 No -1.169962034 -0.1577506121 -1.0513963954 -0.1181469042
## 67 No 0.875427786 0.4968895086 -0.1769417601 -0.0595475609
## 68 No 0.182493361 0.2447198211 -0.5327578437 -0.0720772747
## 69 No -0.796456606 1.0666790373 1.2727579581 -0.3180565883
## 70 No -0.750675757 -0.0930231842 -1.0075922102 -0.1228832013
## 71 No -1.698149465 0.0967246467 -0.4557678685 0.1744954540
## 72 No -0.700659398 1.0956912830 1.3104807748 -0.3148137478
## 73 No 3.032428488 -1.8980463204 0.6562547371 0.3124827647
## 74 No -0.313836135 1.1931437520 1.4280892831 -0.4804957131
## 75 No -1.364614999 -0.0421342756 -0.7891642665 -0.0121639001
## 76 No 2.554954116 -2.0261799036 0.5025524213 0.1964623697
## 77 No 0.197136523 0.6995581852 0.3535888524 -0.0745083433
## 78 No -1.322542296 0.1413066356 -0.4410049403 0.0890350495
## 79 No 0.217664019 -2.1274182062 0.7726062771 -0.0961275654
## 80 No -0.734366957 0.9524571386 1.0342366316 -0.1787310509
## 81 Yes -1.197382016 -0.2340930443 -1.1940432895 -0.1738493029
## 82 No -1.296764834 0.2274303565 -0.2778753067 0.0958974213
## 83 Yes -1.008206279 -0.0953456690 -0.9611949560 -0.1256688903
## 84 No 1.361647046 0.1888972503 -0.8759652645 -0.0193031968
## 85 No -0.806959336 1.0558336138 1.2528522851 -0.2813738779
## 86 No -0.448546799 -0.3174794868 -1.5019068907 -0.3197269722
## 87 No -0.084717836 0.4703519543 -0.0392572419 -0.0536551817
## 88 No -0.797431545 1.0412029346 1.2214304455 -0.2372032057
## 89 No -0.891905672 1.0183499064 1.1951683772 -0.2254186136
## 90 No -1.031259395 0.6564413875 0.5098277540 0.0270728460
## 91 No 0.227101041 0.2038970410 -0.6216515858 -0.0591512269
## 92 No -1.032457656 -2.5757692015 0.1430423631 -0.0944246254
## 93 No 1.987686410 0.7651075091 0.1239313568 0.1167016622
## 94 No 2.806811496 0.5133466217 -0.5333892179 0.2727432484
## 95 No 2.903210552 0.7271987352 -0.1359404036 0.3470841182
## 96 Yes -0.708173758 -0.0563325608 -0.9437915035 -0.1449897800
## 97 No 1.543929464 0.9763055519 0.6292716107 -0.1089530202
## 98 Yes -2.042972026 0.4566118480 0.3103904728 0.4350686525
## 99 No -0.686131807 1.0897963793 1.2961226931 -0.3165244945
## 100 Yes 0.606006347 -2.4340735414 0.0971351316 -0.1313806771
## 101 No -2.174952795 0.4117111280 0.2471775407 0.5061702472
## 102 No -2.187348029 0.4198996847 0.2654516848 0.5147926422
## 103 No 0.918938002 0.2052854759 -0.7556317176 -0.0585346918
## 104 No 0.828260114 -1.3164589611 2.2411930707 -0.2766375917
## 105 Yes 3.004049207 0.5833891941 -0.4377168502 0.3807084725
## 106 No -1.994145410 0.4204330920 0.2309257221 0.3922088180
## 107 No 2.910881473 0.6851658542 -0.2177366027 0.2579300175
## 108 No -1.044980444 0.7303122424 0.6580689327 -0.0255384601
## 109 No 1.113535949 0.2883479476 -0.6316082014 -0.0625671835
## 110 No -0.182569918 1.3696846049 1.7513460190 -0.6718857738
## 111 Yes 1.806754913 0.4673260818 -0.4213335735 0.0630347745
## 112 No 0.473311559 0.7644325971 0.4269041449 -0.1240317493
## 113 No 1.079176733 0.3192866846 -0.5652398537 -0.0199814513
## 114 Yes 0.624327885 -2.0273332320 0.8865403656 -0.0308186348
## 115 No 0.802448837 0.9679188640 0.7620389149 -0.2349692600
## 116 No -0.932457938 -0.3170301421 -1.4060826680 -0.2887548140
## 117 No -0.881816122 0.7789851697 0.7217833082 -0.0630673719
## 118 Yes -0.368163059 -0.3092994349 -1.5020791769 -0.3063862092
## 119 No -1.021001971 0.9439411638 1.0735904064 -0.1492104927
## 120 No 0.088899116 0.1143871675 -0.7671133245 -0.1638923674
## 121 No 1.959011199 0.4578647766 -0.4705680350 0.0940391395
## 122 No -2.026197593 0.4729935049 0.3395070540 0.4159711657
## 123 Yes -1.188782751 -0.1484856985 -1.0296909860 -0.1122392064
## 124 No -1.447591995 0.1665799333 -0.3674576470 0.1157125107
## 125 No -2.083725783 0.4441172020 0.2938314490 0.4437406886
## 126 No 0.539725647 0.1848646509 -0.7205916833 -0.0605840051
## 127 Yes 0.209918439 -2.2003618683 0.6307395561 -0.0586370421
## 128 No -0.010898566 1.3390376628 1.6560687648 -0.6036411741
## 129 No -2.182389936 0.4166242621 0.2581420271 0.5113436842
## 130 No 1.396133635 -1.3335566399 2.0941270073 -0.2082934779
## 131 No -0.488380801 -0.1085994906 -1.0891420399 -0.1568600231
## 132 Yes -0.576201423 0.3540315690 -0.1703852335 -0.0147272045
## 133 No 0.757771042 1.0433573449 0.9199122068 -0.3088633185
## 134 Yes -1.922916373 0.2452104750 -0.1243967224 0.3308482161
## 135 Yes -1.742382162 0.1621482838 -0.3200446092 0.2176521793
## 136 No -0.791376856 0.9282986842 0.9974460071 -0.1398480704
## 137 No -0.275699196 0.1604626277 -0.6069323676 -0.0731386512
## 138 No -0.376504769 1.2566716754 1.5656327046 -0.5261301134
## 139 No -0.576670736 1.1707003910 1.4342995777 -0.3937585278
## 140 Yes -1.102697315 -2.5293673802 0.2465958462 -0.0455643873
## 141 No 2.637556123 -1.5669191859 1.3842277020 0.1888827841
## 142 Yes -1.031083507 -0.0361726080 -0.8419731597 -0.0795512270
## 143 No 2.224966267 0.5258663614 -0.3905755385 0.1131078737
## 144 No 1.824074123 0.7191511070 0.0684508781 0.0206287085
## 145 No 0.223919674 -1.0690561234 2.8500292312 -0.5490385180
## 146 No 2.412380218 0.6164685312 -0.2521123012 0.1901086577
## 147 No -2.127246954 0.4451612849 0.3036825113 0.4808911428
## 148 Yes -1.754341192 0.1338461038 -0.3729250820 0.2135836445
## 149 No -0.242980107 0.3699008128 -0.2042353704 -0.0598981756
## 150 No -0.751647226 0.0909294433 -0.6492204286 -0.0550592777
## 151 No -1.073099568 -0.0076498994 -0.7785687452 -0.0485870504
## 152 Yes -0.640030879 -0.3063633944 -1.4425781495 -0.3087514494
## 153 No 3.111701929 0.6419525586 -0.3461887078 0.4604697940
## 154 No 1.786414072 0.6712071826 -0.0178471279 0.0211034744
## 155 No -2.042218618 0.4839835491 0.3639012414 0.4280368175
## 156 No -0.565777248 -0.0432490520 -0.9464418700 -0.1404773148
## 157 No -0.137336369 0.0493816447 -0.8499160814 -0.1442996565
## 158 No -1.581914961 0.6931113543 0.6875625870 0.1563249540
## 159 No -0.827824399 0.1591071012 -0.5013908336 -0.0312876590
## 160 No -1.813761641 0.4742723869 0.3022753840 0.3105090355
## 161 No -1.105125107 0.2010771358 -0.3662922662 0.0504969156
## 162 Yes -0.277685139 0.0339356276 -0.8522100655 -0.1525261096
## 163 No -1.315154533 -0.1134487617 -0.9372422605 -0.0644836397
## 164 No 1.019911639 0.6398949025 0.0736162178 -0.0375695116
## 165 No -1.878916383 0.5420275733 0.4469341284 0.3421662599
## 166 No -0.242720302 1.3264397073 1.6773555496 -0.6090995206
## 167 Yes -1.210277456 -0.0957504472 -0.9230417556 -0.0796099086
## 168 No 2.362522478 0.8075262451 0.1332558771 0.0954185136
## 169 Yes 0.533272788 -1.4299135605 2.0763220454 -0.2129601398
## 170 No -1.742987721 0.6107737100 0.5562482640 0.2586000645
## 171 No 0.839076685 0.3833241167 -0.3916082964 -0.0674157512
## 172 Yes -0.720591805 -0.4893079825 -1.7815320167 -0.4397049858
## 173 No -0.540357577 -0.0535656476 -0.9715687177 -0.1434751867
## 174 Yes 1.661339506 0.4531497085 -0.4201193144 0.0536221318
## 175 No -1.279821564 0.8242893656 0.8876622997 -0.0008657922
## 176 No -1.130555556 0.8091583715 0.8297371924 -0.0548175517
## 177 Yes -0.408013662 -2.3527082303 0.4550920136 -0.0634476390
## 178 Yes -0.743385170 -2.5017623018 0.2310042629 -0.1128923886
## 179 No -0.028474511 -0.2818951271 -1.5153215325 -0.3202128601
## 180 No -0.446593399 1.2140034675 1.4948745044 -0.4700099121
## 181 Yes -2.013814755 0.3052598908 0.0096136676 0.3940791126
## 182 No -1.760125634 0.1376674302 -0.3643971480 0.2176074288
## 183 Yes -0.785685539 -0.1784065725 -1.1658501246 -0.2051752464
## 184 No 0.143094098 0.3168652298 -0.3837755166 -0.0795021588
## 185 Yes -0.627242566 -0.0394498337 -0.9274866262 -0.1114766533
## 186 Yes -2.098928694 0.3614879802 0.1350961236 0.4532862247
## 187 No -0.938926300 0.3459076749 -0.1154348647 0.0243347932
## 188 No -1.945864424 0.3276573170 0.0406986193 0.3599807990
## 189 No -1.845639560 0.5780694231 0.5114773223 0.3111870300
## 190 No -0.013645536 0.6008614722 0.2017472848 -0.0492099881
## 191 No 0.532751459 0.5036226535 -0.0964845987 -0.0404131894
## 192 Yes -0.763753011 -0.2802378127 -1.3676905617 -0.2790763147
## 193 No -0.241701043 1.3285750295 1.6812085557 -0.6034399477
## 194 No 3.239883891 0.6583217136 -0.3395236129 0.4610277318
## 195 No -0.529586745 1.2000814152 1.4831787898 -0.4287632277
## 196 No 0.041504261 -0.1084171375 -1.1921482007 -0.2192149388
## 197 No -1.423797011 0.6818932760 0.6351992915 0.1183477642
## 198 No 2.505245073 0.4103612382 -0.6739275213 0.2154787463
## 199 No 3.255949403 0.6267711577 -0.4031330238 0.4023772523
## 200 No -2.165862957 0.4057061865 0.2337765017 0.4998471576
## 201 No 0.513172914 -0.0468538068 -1.1656179976 -0.1890981702
## 202 No -0.591288638 -0.0355992888 -0.9263805723 -0.1436000171
## 203 No 2.940458725 0.6614450421 -0.2707942440 0.2975751530
## 204 No -0.665132866 -0.0322339955 -0.9055964102 -0.1255151563
## 205 No 0.444015173 0.5408222174 -0.0050303649 -0.0969602015
## 206 No 0.294475844 0.2693998505 -0.5067690248 -0.0656718236
## 207 No 1.216941856 1.0904109992 0.9184988127 -0.1822721193
## 208 Yes -1.188292177 -0.2400979858 -1.2074443285 -0.1801723925
## 209 Yes 0.191402077 -0.2297993808 -1.4572500566 -0.3044790441
## 210 No 2.513449429 0.5763791191 -0.3517235008 0.2499979911
## 211 Yes -1.714650062 0.1441992588 -0.3602215210 0.1992032533
## 212 No -2.091491554 0.3565748462 0.1241316372 0.4481127878
## 213 No -0.496532742 1.2175150698 1.5122868829 -0.5021149164
## 214 No -1.390183335 0.7878346061 0.8373942404 0.0370312003
## 215 No 0.214739477 -2.3531851542 0.3323793816 -0.1224883096
## 216 No 0.714439146 0.8348736551 0.5168759742 -0.1193512227
## 217 No 0.750808255 1.1594496565 1.1501706444 -0.3997181818
## 218 No 0.986205791 0.9862221755 0.7604665072 -0.1854365658
## 219 No 1.855475220 0.7342960777 0.0920706096 0.0104623719
## 220 No -0.869756792 -0.1306549715 -1.0567547514 -0.1643518188
## 221 Yes -1.223800243 -0.0877222775 -0.9048314868 -0.0722558497
## 222 No 0.018466833 1.3179405019 1.6080594762 -0.5582169394
## 223 No -2.174952795 0.4117111280 0.2471775407 0.5061702472
## 224 Yes -1.575912620 0.1288975389 -0.4162128889 0.1364170651
## 225 No -1.880644639 0.5677193812 0.4977741351 0.3293342068
## 226 No -0.790721995 0.4203173894 0.0005657508 0.0331607291
## 227 No 0.228193786 0.2253459925 -0.5795073904 -0.0793405118
## 228 Yes -1.596508547 0.0295784817 -0.6056158500 0.1037918152
## 229 No 0.398788586 0.1241573658 -0.8105444719 -0.1022103553
## 230 No 1.111447309 0.4455405776 -0.3255027070 0.0133837444
## 231 No 2.117501542 0.3529008021 -0.7076855529 0.1225981484
## 232 No 1.498031583 0.4197788527 -0.4531453294 0.0560318906
## 233 Yes -1.110615378 -0.2914129412 -1.3219622981 -0.2342060677
## 234 No -0.109889215 1.3687443639 1.7339568379 -0.6157043463
## 235 No -1.259735971 0.7380548960 0.7144798989 0.0288177021
## 236 Yes -1.569694178 0.0533592709 -0.5645447151 0.1095269744
## 237 No -1.736715414 0.4334828801 0.2079631089 0.2798356677
## 238 No -0.556239678 0.0983477216 -0.6725700581 -0.0905616816
## 239 Yes -0.172771995 -2.6293290682 -0.1287758406 -0.2231354206
## 240 No -1.764254088 0.6163735139 0.5714896861 0.2542350036
## 241 No 2.350509329 0.8383263298 0.1945646752 0.1556186197
## 242 No 3.159196787 0.6534789720 -0.3314436098 0.3853097943
## 243 No 0.536800409 0.4483426295 -0.2057215818 -0.0231087781
## 244 No 2.494646248 -1.7369652257 1.0802908006 0.1765545455
## 245 No -0.892448846 -2.1795844343 0.8862073997 0.0798354555
## 246 No -0.896128512 -2.5369476482 0.1922512834 -0.1061207417
## 247 No 0.189676268 0.5276751296 0.0200411882 -0.1217297378
## 248 Yes -0.429468453 -2.3550965858 0.4551416994 -0.0860768583
## 249 Yes -1.706412954 0.1021836845 -0.4435851058 0.1802437173
## 250 No 1.275306480 0.2403067352 -0.7594079157 0.0279936824
## 251 No 1.483814874 0.4271081000 -0.4346399995 -0.0084566489
## 252 Yes -1.300333090 -0.1206287598 -0.9541138726 -0.0688725466
## 253 Yes -1.602638415 -2.1990955930 0.9836529910 0.3022055433
## 254 No 0.317688173 0.2135916876 -0.6196463953 -0.1038907931
## 255 No -1.925680891 0.5359758487 0.4439505724 0.3606249188
## 256 No 1.147868075 0.9794257041 0.7142950676 -0.1408430984
## 257 No 2.752892848 0.4145319701 -0.7161586453 0.2842271975
## 258 No 2.138312705 0.2341974348 -0.9444156470 0.1489423118
## 259 Yes -1.738525078 0.1593796963 -0.3261515500 0.2144690940
## 260 No -0.543376534 -1.8502720307 1.4629106914 -0.0086038779
## 261 Yes -1.515062327 -2.1805409974 1.0031988465 0.2751398912
## 262 Yes 0.136554351 -2.7245267379 -0.3737223321 -0.3302165518
## 263 No 1.891387507 -1.8372129978 1.0067539733 0.0228449284
## 264 No -0.576583362 0.5261892468 0.1668478114 -0.0428761415
## 265 No 1.787988537 0.1515411187 -1.0342479626 0.0289530132
## 266 No 1.886173788 0.6495080039 -0.0821100316 0.1216416303
## 267 No -0.642898886 1.0254941938 1.1612735142 -0.2882394382
## 268 No 0.428243968 -2.6017159785 -0.1932607124 -0.2359228235
## 269 Yes -0.555691572 1.1957047299 1.4804348766 -0.4596317730
## 270 No -0.019705730 1.3191451721 1.6185479057 -0.5861121032
## 271 Yes 0.045191278 -2.5442699265 -0.0059588679 -0.2038939655
## 272 No 0.734348784 0.8244367404 0.4927020746 -0.1270427412
## 273 Yes -2.098928694 0.3614879802 0.1350961236 0.4532862247
## 274 No 0.531953653 -2.6048137871 -0.2199435431 -0.2294394239
## 275 Yes -1.341993078 -0.1385598827 -0.9808449419 -0.0732546949
## 276 Yes -0.915016951 -0.2367995844 -1.2538803707 -0.2322425521
## 277 Yes 1.984786439 0.3544633382 -0.6791849697 0.1590628929
## 278 No -0.369501616 -2.1650664441 0.8135047098 -0.0252811510
## 279 No -1.096447796 0.2249318344 -0.3211882321 0.0418478827
## 280 No -1.526109774 0.1386986791 -0.4067317701 0.1288978545
## 281 No -1.406045462 0.1040914395 -0.4970076335 0.0770559889
## 282 No -1.328385636 0.2049562234 -0.3154234579 0.0892687654
## 283 No -2.089012507 0.3549371349 0.1204768084 0.4463883088
## 284 No 0.967514972 1.0307946869 0.8524278856 -0.2387675415
## 285 Yes -0.061965617 -0.1232615015 -1.2012086345 -0.1964883702
## 286 No -0.280762554 0.1371219899 -0.6518316732 -0.0604244386
## 287 No -1.087855913 0.4235769437 0.0646265382 0.0809585337
## 288 Yes -1.351909265 -0.1320090373 -0.9662256266 -0.0663567789
## 289 Yes -0.722508773 -2.4635668816 0.3008360504 -0.0792365341
## 290 Yes -1.449667016 0.2719624485 -0.1616277442 0.1438970973
## 291 Yes -0.012310872 -2.2341525439 0.6095567376 -0.1044532038
## 292 No -0.156304632 0.4727746892 -0.0192759147 -0.1055974200
## 293 No -0.037168857 0.0378186281 -0.8919806365 -0.1598529021
## 294 No -0.538131197 -2.6530869456 -0.1030717405 -0.2216367245
## 295 No -1.874672271 0.5639247859 0.4892568471 0.3255218118
## 296 No -2.174126447 0.4111652243 0.2459592644 0.5055954209
## 297 No 1.892157482 0.9037645353 0.4162222599 0.0059531486
## 298 No 1.137964837 -2.2954097083 0.2621832177 -0.0871714166
## 299 No 0.461889938 0.4303259707 -0.2254806539 -0.0543625076
## 300 Yes -1.292412142 -0.1713141095 -1.0539415182 -0.1077442748
## 301 No -0.517387135 0.2601003005 -0.3650759843 -0.0411241695
## 302 Yes -0.534272919 -2.7521815565 -0.2958153663 -0.3038339322
## 303 No -0.869454569 -0.3060147613 -1.3971188350 -0.2829296758
## 304 No 1.184296677 0.9840072147 0.7166931001 -0.1709281711
## 305 No 0.571289095 0.3303211360 -0.4426075686 -0.0539457459
## 306 No -0.589184662 1.0531645389 1.2054679715 -0.3218034781
## 307 Yes 0.321175896 -2.0959817072 0.8132963027 -0.0811981265
## 308 No -0.050346927 0.2413284632 -0.4922180605 -0.1271781245
## 309 No 1.299967751 -2.2489555526 0.3204370747 -0.0609621119
## 310 No 0.905048451 0.5124446710 -0.1521578007 -0.0702122786
## 311 No -2.190653425 0.4220832999 0.2703247899 0.5170919475
## 312 No -0.039180670 -0.0016741087 -0.9683342862 -0.1813149032
## 313 No 1.731201079 0.1015398940 -1.1203644376 0.0094165355
## 314 No -0.951062247 -2.4557965553 0.3602606357 -0.0358880356
## 315 Yes -0.988780961 -0.1836011678 -1.1366105666 -0.1707988476
## 316 No 2.060995141 0.2896073973 -0.8206873361 0.1428484929
## 317 No -0.199582997 1.3512786629 1.7184206531 -0.6575697812
## 318 Yes 0.522109306 0.3438924765 -0.4061758341 -0.0626311012
## 319 Yes 0.414408076 -2.3996898368 0.2023349615 -0.1374390169
## 320 No 0.687022178 0.1906837978 -0.7381455283 -0.0686119253
## 321 Yes 1.536586078 -1.8175455169 1.1159556610 -0.0081216762
## 322 No 1.315341185 1.0440340258 0.8089500290 -0.2084828619
## 323 No -1.768389124 0.1431264680 -0.3522143853 0.2233556922
## 324 No -1.415338168 0.2177355368 -0.2738753697 0.1181826205
## 325 No 1.222586093 1.0021223425 0.7444983167 -0.1688330830
## 326 No 1.805900140 0.3601999299 -0.6298596247 0.0285458874
## 327 No -0.438710303 -2.5066029919 0.1623103123 -0.1582251080
## 328 Yes -1.061712015 -2.5128591201 0.2707585178 -0.0449498674
## 329 No -0.787641432 -1.7736213217 1.6600086224 0.0389216600
## 330 No -0.135536917 -2.4040524750 0.3016745608 -0.1006573534
## 331 No -1.198343873 0.8732217171 0.9679213038 -0.0336444753
## 332 No -1.990778442 0.5166379974 0.4180875831 0.4039496039
## 333 No 1.335829067 0.3407241997 -0.5749992902 0.0254425690
## 334 Yes -1.025166682 -0.0805085665 -0.9292634528 -0.1056338007
## 335 Yes -1.132206039 -0.2320568746 -1.2026676185 -0.1866412005
## 336 Yes 1.778571815 0.8628705194 0.3581810375 0.0311976163
## 337 Yes 1.522412449 0.2105014006 -0.8677887062 0.0889684849
## 338 No 2.226159230 0.7626655930 0.0710597684 0.1630947979
## 339 No 0.858588810 0.1806520293 -0.7926115113 -0.0234079373
## 340 Yes 2.491325846 0.5512752238 -0.3963241706 0.2450262429
## 341 No -0.144465070 -1.8935202412 1.2992788312 0.0042844261
## 342 No 2.277300407 0.8298399553 0.1926132340 0.1473397986
## 343 No 1.370391266 0.8969021364 0.5077062067 -0.0797269740
## 344 No -0.379837665 1.2428654344 1.5385426678 -0.4904084710
## 345 No -1.018866996 0.9495524213 1.0838320596 -0.1347741472
## 346 No -1.075427800 -2.5473822049 0.2063927293 -0.0645336562
## 347 Yes -0.969489948 -0.3389470909 -1.4414071844 -0.2984616041
## 348 No -0.244584145 1.3414970858 1.7079464593 -0.6461536992
## 349 No -0.989634656 0.4576413491 0.1129417553 0.0279008502
## 350 No 2.602197147 -1.7655175176 1.0012882013 0.2678044598
## 351 No -0.010310742 0.4910140263 -0.0128668720 -0.0865079640
## 352 No -1.223173899 0.3729571850 -0.0072966937 0.0667137467
## 353 No -0.516709345 -2.6380345635 -0.0774871510 -0.2400195824
## 354 Yes -0.955977575 -0.2440160844 -1.2603304053 -0.2117684069
## 355 Yes -0.888255721 -1.9330069696 1.3673233632 0.0847003562
## 356 Yes -0.756135568 -0.0991073777 -1.0180222137 -0.1410595121
## 357 No -0.789894582 -2.1276540800 0.9676603805 0.0707649002
## 358 No 2.607862820 0.5526557979 -0.4172199881 0.2719559099
## 359 Yes -0.942772675 -1.7367042099 1.7622139361 0.0678661037
## 360 No 1.163010501 0.2495443408 -0.7176960607 -0.0411578990
## 361 No -2.065476607 0.4646893099 0.3306221047 0.4353281796
## 362 No 1.151186059 0.2159537335 -0.7806896171 -0.0571098464
## 363 No 0.438417864 0.9170853846 0.7343501699 -0.2240971854
## 364 No -0.854009680 1.0251304827 1.2014448021 -0.2493400312
## 365 No -0.492185858 0.0709693990 -0.7385213106 -0.1012495849
## 366 Yes -0.708337001 -0.3546858406 -1.5230217082 -0.3337230227
## 367 No -0.627774818 0.3100795816 -0.2460856266 -0.0163638036
## 368 No -2.192306123 0.4231751074 0.2727613424 0.5182416002
## 369 No 2.700440177 0.7188596027 -0.1098089548 0.2351890231
## 370 No 3.286207534 0.6264310513 -0.4102745362 0.4258828648
## 371 No -1.245912508 0.8378007375 0.9076288402 -0.0127240863
## 372 Yes -1.042774548 -0.2863439279 -1.3253753105 -0.2379829831
## 373 No -1.164255026 0.5642283833 0.3551365869 0.0597816603
## 374 No 1.985072659 0.4622352931 -0.4678265785 0.1248589026
## 375 No 0.925935526 0.1823335258 -0.8023779575 -0.0352624144
## 376 No 0.888440164 0.3790671550 -0.4103183858 -0.0374628630
## 377 No -2.089838856 0.3554830387 0.1216950846 0.4469631351
## 378 Yes 0.483999792 -0.1101766826 -1.2830624360 -0.2166855878
## 379 No 1.848300681 0.6235539657 -0.1234732667 0.0324049374
## 380 No -0.328025642 -0.0589992553 -1.0230566250 -0.1945401398
## 381 No 0.767308022 0.3285381290 -0.4836338028 -0.1098213433
## 382 Yes -1.671706299 0.0792557257 -0.4947527092 0.1561010114
## 383 No 1.770465319 -1.3817545135 1.9233736188 -0.0869472378
## 384 Yes -1.007321763 -0.3596509138 -1.4742468322 -0.3060593591
## 385 No 1.782055683 0.2477500789 -0.8450827546 0.0332415316
## 386 Yes -1.653232760 -1.8440816964 1.6862546811 0.3695883649
## 387 Yes 1.759745750 -1.8162578385 1.0720029276 0.1041432013
## 388 No -0.006995568 0.6450578641 0.2875536744 -0.0830623084
## 389 No 1.113139875 0.3500553574 -0.5123779481 0.0073342100
## 390 No -1.781610707 0.1518609285 -0.3327219650 0.2325529135
## 391 No 0.386039297 0.0186565301 -1.0134188985 -0.1425571166
## 392 No 0.369844689 -2.2671786883 0.4690123459 -0.0818302320
## 393 No -1.499091860 -2.2294179098 0.9050922904 0.2468270707
## 394 No -1.669436800 0.6559247452 0.6309978667 0.2108874976
## 395 No 1.350609046 -2.1234057787 0.5548894704 -0.0144542399
## 396 No 2.158696031 0.7091554755 -0.0194567472 0.1270365872
## 397 No 1.314538651 -2.4097434649 0.0033185258 -0.0653494020
## 398 Yes 0.173450140 0.3411497987 -0.3425037479 -0.0697831235
## 399 No -0.130133918 -1.8814668035 1.3206664708 -0.0265875066
## 400 No -1.562150792 0.7066010491 0.7105230926 0.1330687388
## 401 No -1.301600987 0.8318065300 0.9066699229 -0.0012949163
## 402 No -1.886748566 0.5482114081 0.4604064130 0.3499040321
## 403 Yes 2.680816993 0.6867502319 -0.1697834117 0.2860396941
## 404 No 1.037622041 1.0215270062 0.8197118475 -0.2035332909
## 405 No -1.634917983 0.6728400839 0.6573243924 0.2072368508
## 406 No -0.145573011 1.3696395983 1.7433211662 -0.6423043537
## 407 No 2.064404873 0.5686455348 -0.2760269549 0.1509876815
## 408 No 0.791862939 -2.2818026875 0.3579617558 -0.1249001503
## 409 Yes -2.179910889 0.4149865507 0.2544871983 0.5096192052
## 410 Yes -2.184868983 0.4182619734 0.2617968560 0.5130681632
## 411 Yes -0.832954966 -2.6169266825 0.0247087122 -0.1670848381
## 412 No -0.778633681 0.9747519171 1.0877272106 -0.2333953894
## 413 No -0.032724793 0.2517964522 -0.4760387138 -0.0893035393
## 414 No 1.341582038 0.4884803335 -0.2870915288 0.0165868917
## 415 No 0.975572007 -1.7968815708 1.2668712029 0.0068251971
## 416 No -0.632027926 0.0675374929 -0.7180149972 -0.0818277592
## 417 No 2.648422726 0.7014455386 -0.1333315034 0.2236692621
## 418 No -0.921588574 0.8936645264 0.9549090782 -0.1137489729
## 419 Yes -0.144214218 0.0596819057 -0.8287992034 -0.1264622924
## 420 Yes -1.022541469 -2.5823200469 0.1284230478 -0.1013225414
## 421 No -1.984879235 0.4217511440 0.2314506460 0.4026319387
## 422 No -1.088903843 -0.0364990401 -0.8316670491 -0.0569809363
## 423 No 0.579968278 -0.0007365951 -1.0890552880 -0.1703390343
## 424 No -0.791065474 0.9376944561 1.0167743456 -0.1879945876
## 425 No -1.513035429 0.3180147661 -0.0602151856 0.1974778023
## 426 No 0.622222000 -1.5295732620 1.8627626348 -0.1584672013
## 427 No 2.155542216 -2.0487473041 0.5393127103 0.1036381231
## 428 No -0.659936889 -0.1610566471 -1.1567926986 -0.2043457347
## 429 No -0.490696660 0.0751619062 -0.7308464173 -0.0905483463
## 430 No 1.112469866 1.0009916308 0.7644927777 -0.1900446782
## 431 Yes -0.485346062 1.2237504260 1.5217762220 -0.4790010482
## 432 No 1.550248609 1.0084496208 0.6906882065 -0.1006980939
## 433 No -1.583558920 0.0639925857 -0.5412934639 0.1225137860
## 434 Yes -1.371043561 0.2945511629 -0.1324683427 0.1187958195
## 435 No -1.017025873 0.9564487732 1.0965872433 -0.1176596415
## 436 No -0.875376170 0.5085827657 0.1899974201 0.0259784672
## 437 No -1.164910240 0.8740599808 0.9638242302 -0.0746202140
## 438 No 3.408500081 0.6245864092 -0.4400342944 0.5198183099
## 439 No 0.638502621 0.2056759448 -0.6991462151 -0.0735459128
## 440 No -1.598987594 0.0312161930 -0.6019610212 0.1055162942
## 441 No 0.211180231 -0.3392982068 -1.6747279712 -0.3277936447
## 442 No 1.941101101 -2.0601998743 0.5590539211 0.1147217859
## 443 No 2.308994549 0.2919010370 -0.8650943459 0.1379217428
## 444 No -0.732085263 0.1841304078 -0.4712618377 -0.0371362459
## 445 No 0.443198603 0.3126380992 -0.4517976587 -0.0574094940
## 446 Yes 2.403876406 0.4776093588 -0.5224646571 0.2169309421
## 447 Yes -1.359346405 -0.1270959033 -0.9552611401 -0.0611833419
## 448 No -0.573228064 1.0521170270 1.2000464619 -0.3113763418
## 449 No -0.591232088 -0.2867533777 -1.4141775823 -0.2948348188
## 450 No 3.021994943 0.6830579553 -0.2455994728 0.3422993016
## 451 No -0.197906966 1.2223658500 1.4618922107 -0.4606247013
## 452 No -0.209341868 -2.1966241595 0.7204398777 -0.0380387927
## 453 No 0.848218582 0.8627173863 0.5456990388 -0.1579850044
## 454 Yes 0.066115975 0.1755639511 -0.6440909327 -0.1131558173
## 455 No -0.336113247 1.1786331612 1.4037213320 -0.4615705502
## 456 No 0.427460789 -0.1169553180 -1.2853346237 -0.2077174875
## 457 No 0.415018801 0.0679562601 -0.9241517468 -0.0772211680
## 458 No 0.148720263 0.2093340557 -0.5944646030 -0.1097096185
## 459 No -2.150278386 0.4272261649 0.2729463859 0.4914460510
## 460 No -1.267621674 -0.1876912229 -1.0904898064 -0.1249890647
## 461 No -2.046673375 0.4840133358 0.3649139703 0.4245302034
## 462 No -0.390588782 0.2271143799 -0.4537052794 -0.0838868528
## 463 Yes -0.686440899 -0.4226232641 -1.6587452354 -0.4005008711
## 464 Yes -0.556957327 -0.3582375903 -1.5593205729 -0.3597232511
## 465 No 3.664449559 -1.7923804047 0.7339511122 0.5015545866
## 466 No 0.522505972 1.1772706394 1.2301852470 -0.4030795561
## 467 No 2.716104695 -1.8169864605 0.8787019765 0.2424903866
## 468 No 2.469786466 0.8141590330 0.1228861750 0.1965185902
## 469 No -0.955326849 0.9912891509 1.1542192917 -0.1982604541
## 470 Yes -1.114668310 0.2003831248 -0.3655677951 0.0412665286
## 471 No -1.471717864 -1.7714417761 1.7946903586 0.2617250699
## 472 Yes -1.599813943 0.0317620968 -0.6007427449 0.1060911205
## 473 No -1.025952606 -0.0114954697 -0.7945398509 -0.0891807614
## 474 No -0.734317916 0.3885337095 -0.0721442981 0.0063462085
## 475 Yes -1.274232466 -0.1833239927 -1.0807435962 -0.1203904541
## 476 Yes -0.143678059 0.1189313633 -0.7129770338 -0.1310873587
## 477 No 0.536500814 -2.0525579928 0.8543294070 -0.0190788094
## 478 No -0.982752463 -0.0990229430 -0.9736689842 -0.1135848463
## 479 Yes -0.726151046 -0.3519121990 -1.5139101565 -0.3417264690
## 480 Yes -0.781912460 0.0932588786 -0.6382840532 -0.0740598282
## 481 No -1.896698650 0.5521036461 0.4699634540 0.3507464167
## 482 Yes -0.082609785 0.8158024990 0.6382360894 -0.1747758820
## 483 No -0.028423837 -2.3448391950 0.3960366812 -0.0895563879
## 484 No 3.184114370 0.6663115833 -0.3123208028 0.4343994170
## 485 Yes -0.796080886 -0.1672797593 -1.1424023339 -0.1882858623
## 486 No 2.252905439 0.8523075736 0.2421691834 0.1090109385
## 487 No -0.154616411 -0.2308395468 -1.3908982002 -0.3056519804
## 488 No 2.340036838 0.8102988297 0.1433678740 0.0836645424
## 489 Yes -1.280016908 -0.1795026662 -1.0722156623 -0.1163666697
## 490 No 2.512396435 0.5356958751 -0.4305530109 0.2266058228
## 491 No -1.494985556 0.0029490050 -0.6767006534 0.0551632265
## 492 Yes -1.237622292 -0.1647842795 -1.0517684192 -0.1186799220
## 493 No 1.267859891 -1.5461613875 1.7014599257 -0.0962765962
## 494 No -2.171647400 0.4095275129 0.2423044356 0.5038709419
## 495 Yes -1.058855892 0.4543663216 0.1200718340 0.0346380592
## 496 No -0.388707308 0.3782372678 -0.1600257651 -0.0185136216
## 497 No -0.211680600 1.3415332719 1.7009548083 -0.6196723752
## 498 Yes -1.676064236 -2.0162240967 1.3540320509 0.3791472849
## 499 Yes -0.281294057 -0.2709420243 -1.4446207224 -0.2891167139
## 500 No 1.257730880 -0.0658941382 -1.3513446892 -0.1228030889
## 501 No 2.278696143 -1.5297894937 1.5305557843 0.0548529850
## 502 No 1.434933438 0.9733438419 0.6455342650 -0.1334176019
## 503 No 1.268504013 0.5312244136 -0.1884248203 -0.0148250648
## 504 No 1.920925370 0.8440392592 0.2932045296 0.0330106199
## 505 Yes 0.209019199 -2.4789164457 0.0894203126 -0.2030676589
## 506 No -0.768218171 -0.0616194782 -0.9424670052 -0.1354517117
## 507 Yes -0.907988452 -0.3806208401 -1.5340698833 -0.3436118700
## 508 Yes -0.942389187 -0.1663238727 -1.1121416212 -0.1641028188
## 509 No -2.180737238 0.4155324545 0.2557054746 0.5101940316
## 510 No 0.222646044 -2.4796319030 0.0851319122 -0.1937568110
## 511 No 2.407741051 0.4802126479 -0.5168510017 0.1562334800
## 512 Yes -0.871838925 -2.5108722067 0.2382397447 -0.0972081984
## 513 No 2.166835286 0.4124569284 -0.6017499108 0.1578198741
## 514 No 0.518969956 0.0735808325 -0.9327752879 -0.1204672765
## 515 Yes 1.275796804 0.1447137337 -0.9447518034 -0.0489658882
## 516 No -0.565077168 0.4407247539 -0.0030253423 -0.0183301915
## 517 No -0.950971276 -2.4650718654 0.3425545501 -0.0568466149
## 518 Yes 0.104039221 -2.1776060385 0.6968515989 -0.0919880235
## 519 No -1.855949878 0.5619437973 0.4814618413 0.3360513707
## 520 No 2.726633388 0.5956142245 -0.3563548668 0.2555524148
## 521 No -0.374523696 -1.9138287633 1.3054844333 -0.0172428817
## 522 No 1.472148386 0.5690059691 -0.1556439438 0.0251292071
## 523 Yes -0.271709891 0.1530687225 -0.6218874377 -0.0867034619
## 524 Yes 0.873523356 0.0944115336 -0.9632211678 -0.0675719682
## 525 No 1.504387949 0.4692410532 -0.3572348641 0.0338841150
## 526 No 3.657915782 -1.7893291126 0.7411715082 0.5032311263
## 527 No 1.897145736 0.5354393211 -0.3064122557 0.0808995548
## 528 No -1.217553028 0.8738065742 0.9731585577 -0.0477302733
## 529 No 2.257587627 -1.9278276712 0.7539055291 0.1808899573
## 530 No -1.500482593 0.7107920465 0.7067604040 0.1223484965
## 531 No -0.218434082 1.3372554018 1.6942467846 -0.6347908280
## 532 No -1.137368632 -0.2241664155 -1.1865139261 -0.1728918208
## 533 No 3.132456689 -1.7873653189 0.8517569544 0.3649002674
## 534 Yes -1.104004587 -0.2957801715 -1.3317085083 -0.2388046784
## 535 No -0.508759846 -0.1686178984 -1.2006935732 -0.2395999977
## 536 No 1.681474070 0.7260052685 0.1106418290 -0.0085398809
## 537 No -0.265534027 0.4750241259 0.0054947675 -0.0487320175
## 538 No 2.542959902 0.7175629035 -0.0814462170 0.2453008437
## 539 No 1.573912241 0.6952563537 0.0706530929 0.0445414502
## 540 No 3.329555277 0.6259625162 -0.4204697944 0.4595993658
## 541 No -1.149886328 0.1368638489 -0.4820895853 0.0083838179
## 542 No -2.185695331 0.4188078772 0.2630151322 0.5136429896
## 543 Yes -0.665396450 -0.1631601264 -1.1596321568 -0.2134956610
## 544 Yes -1.323252191 0.3087103092 -0.1142455534 0.1195444407
## 545 No 0.290128469 0.2914018738 -0.4624028324 -0.0889717641
## 546 Yes 0.702260442 0.2992556891 -0.5284702887 -0.0890057069
## 547 No 2.604507411 0.5641837788 -0.3930390173 0.2257021801
## 548 No 2.025966641 -2.0434209587 0.5743165887 0.1511561407
## 549 No -1.779151384 0.6049029925 0.5513350633 0.2859744556
## 550 No 3.202674133 0.6450675148 -0.3568125881 0.4011198728
## 551 No 3.362025767 0.5974089062 -0.4818847834 0.4209064894
## 552 No -0.631283339 1.1475463826 1.3989098473 -0.3506745807
## 553 No -1.443220224 0.6498755796 0.5768356227 0.0998656887
## 554 Yes 0.252550667 0.2487772204 -0.5385754710 -0.0763696748
## 555 No 0.961174074 0.7279292959 0.2585249782 -0.0941830860
## 556 No -2.179910889 0.4149865507 0.2544871983 0.5096192052
## 557 No 0.263281260 0.4357845112 -0.1754111369 -0.0619315910
## 558 No -0.921399911 0.0200890789 -0.7537908635 -0.0730805508
## 559 No -1.694017720 0.0939951278 -0.4618592498 0.1716213223
## 560 No 2.229702111 0.3975152459 -0.6437317244 0.1743794328
## 561 No -2.054286986 0.4024636418 0.2066085748 0.4426126170
## 562 No -1.091137141 -0.0348263727 -0.8279982987 -0.0549800251
## 563 No 2.122587928 0.5131676009 -0.3957788717 0.1415753188
## 564 No -1.199117557 0.0214663442 -0.6974857740 -0.0139726728
## 565 No 1.673845329 0.9417095077 0.5354241958 -0.0831643143
## 566 No -0.053270584 -0.2396443997 -1.4294351101 -0.2443047012
## 567 No 1.827997486 0.9284739694 0.4771071436 0.0105042169
## 568 Yes 0.913308574 0.1067684114 -0.9467170113 -0.0773334725
## 569 No -1.502850478 0.3327956664 -0.0327369836 0.1694637405
## 570 No -0.533484371 1.2095419299 1.5035337787 -0.4801399267
## 571 No 0.544662525 -1.7209054063 1.5027342681 -0.0969280354
## 572 No -1.025617080 0.0755901997 -0.6255953298 -0.0308487862
## 573 Yes 1.995752636 0.4564565383 -0.4811375369 0.1203244920
## 574 No 1.074332370 -2.5032740987 -0.1308792095 -0.1216458624
## 575 No 1.546446407 0.6947299827 0.0770220702 -0.0483896148
## 576 No 0.657681147 0.0621928273 -0.9827770719 -0.1046992050
## 577 No -1.008960174 -0.0150494268 -0.8049630351 -0.0836058633
## 578 No 1.015632917 -2.2298798083 0.4133892419 -0.0367334917
## 579 No -2.155730345 0.4310947850 0.2814931548 0.4958438319
## 580 Yes -1.882222441 0.5721390745 0.5065403730 0.3380898602
## 581 Yes -1.264316279 -0.1898748380 -1.0953629115 -0.1272883700
## 582 Yes -0.650186458 -2.6857386845 -0.1442457443 -0.2461762482
## 583 No -2.194785170 0.4248128188 0.2764161712 0.5199660792
## 584 No -2.120650619 0.4407919984 0.2939354822 0.4762762714
## 585 Yes -0.850660892 -2.6958680332 -0.1249784168 -0.2208864184
## 586 No 0.646164920 0.7186945199 0.3025968154 -0.0890576214
## 587 No -2.066710087 0.4658407485 0.3330824057 0.4369493931
## 588 No 2.864111448 0.7448577721 -0.0938772496 0.3557554938
## 589 No 2.481246350 0.7971493956 0.0865134335 0.2368451888
## 590 No 3.258766168 0.6318159490 -0.3941178360 0.4160761643
## 591 No -0.739914165 0.9742884937 1.0785348542 -0.2033806311
## 592 No 1.830504634 0.7213294677 0.0697458803 0.1004284995
## 593 No 0.225588535 0.1738268073 -0.6786662511 -0.1285483559
## 594 No -1.755167541 0.1343920076 -0.3717068057 0.2141584709
## 595 Yes -1.050844002 0.1244773357 -0.5254829700 -0.0099394510
## 596 No -1.011641489 0.2576882687 -0.2739673362 0.0447623361
## 597 No -1.307500380 -0.0385909949 -0.7931849131 -0.0280062689
## 598 No 1.431220027 0.4614239571 -0.3579188942 0.0271557634
## 599 No -0.310959295 1.2726927788 1.5835961660 -0.5069150169
## 600 No -0.618218890 0.0522521294 -0.7501250237 -0.1054076855
## 601 No -2.148285852 0.4281730361 0.2743243504 0.4951917175
## 602 No 1.582172879 0.8367979518 0.3476514870 -0.0460946531
## 603 No 1.697947741 0.2097854109 -0.9023847965 0.0190778336
## 604 No 1.019238499 -0.0296192361 -1.2339546952 -0.0924963473
## 605 No 2.277235189 0.8272401224 0.1891486453 0.0716913492
## 606 No 0.541065110 0.3373005640 -0.4228132369 -0.0623694426
## 607 No 0.088344264 0.8343382509 0.6413331292 -0.2046892586
## 608 No 3.369738816 0.6124384117 -0.4548809847 0.4611739286
## 609 Yes 2.861716043 -1.8287198570 0.8265609058 0.2630114464
## 610 Yes -1.768292598 0.4149956299 0.1780079596 0.2822821784
## 611 Yes -1.079432495 0.0479054609 -0.6697955195 0.0026014287
## 612 No -0.302328719 1.2812815617 1.5996005170 -0.5502166827
## 613 No 1.900456036 -2.2222074274 0.2514583020 0.0632679446
## 614 No 0.724000688 0.6281323774 0.1102487099 -0.0925537933
## 615 No -1.214170222 0.2991419913 -0.1529405607 0.0459653493
## 616 No -1.885499395 0.4513362250 0.2709758768 0.3403470408
## 617 No 2.900554160 -1.7819984831 0.9087960118 0.3304108207
## 618 No 1.600556406 0.5787728150 -0.1616169279 0.0108979220
## 619 No -0.945466070 -0.1315356478 -1.0436667744 -0.1573909752
## 620 No -1.396189849 -2.0105968858 1.3120994846 0.2679512518
## 621 No 2.039311129 0.6282299871 -0.1540661748 0.1265587455
## 622 No 0.730658097 0.3292327082 -0.4759236650 -0.0679504223
## 623 No -1.638517480 0.6723280793 0.6571204828 0.2031879319
## 624 Yes -2.007603845 0.4942780724 0.3775823180 0.4094506014
## 625 No 0.275487690 -0.0098006453 -1.0469171901 -0.1563791411
## 626 No -0.070682533 0.0668872982 -0.8293596549 -0.1208291101
## 627 No 2.883492436 -1.8076460256 0.8635513765 0.2585665528
## 628 No 3.459590282 -1.7631369929 0.8336737304 0.4035000740
## 629 Yes 1.603114530 -1.9556835434 0.8308775158 0.0805359074
## 630 Yes 1.843248199 -2.2523018254 0.2048701277 0.0188314321
## 631 No 0.124450836 0.6978439314 0.3659173970 -0.1367127807
## 632 No 2.464690667 0.8114438502 0.1188022352 0.1862734946
## 633 No -1.922404657 0.5298074069 0.4314852843 0.3492667075
## 634 No -0.088247863 0.6174510895 0.2493897309 -0.0714485531
## 635 Yes 2.681607106 0.5691796817 -0.4000571567 0.2988891466
## 636 No 0.688451585 0.0479932180 -1.0164564209 -0.1122086828
## 637 No 1.588390422 0.9008362273 0.4713860351 -0.0353028724
## 638 Yes 2.358637105 -1.9751545714 0.6419766979 0.1546515517
## 639 Yes -0.672257476 -0.1535209188 -1.1397794143 -0.1971437234
## 640 No -0.101957181 1.2641317404 1.5268592720 -0.5677429452
## 641 Yes 0.082126335 0.6485098439 0.2764906041 -0.0734315177
## 642 Yes -1.028806835 -0.3454574155 -1.4425716491 -0.2911138745
## 643 No 1.524682283 -1.9641862252 0.8314947243 -0.0016717424
## 644 No -1.665774215 0.5480510351 0.4185980847 0.2480289767
## 645 Yes 0.250225114 -2.4790261952 0.0803688095 -0.1702560569
## 646 Yes -1.753514843 0.1333002000 -0.3741433582 0.2130088182
## 647 No 0.733360701 0.6274734379 0.1069836842 -0.0865381702
## 648 Yes -0.744266292 -2.7218045559 -0.1957872462 -0.2640351449
## 649 No -0.105608419 -2.1664830361 0.7586122782 -0.0258688176
## 650 Yes -1.269632476 -0.0956317315 -0.9115574955 -0.0572615668
## 651 Yes -1.275885164 -0.1822321851 -1.0783070437 -0.1192408014
## 652 No -1.218584626 0.8670253718 0.9604492332 -0.0639341788
## 653 No -1.604284883 0.5814714629 0.4720886173 0.2337412753
## 654 Yes -1.741017171 -1.8806422082 1.6309401747 0.4253599029
## 655 No -0.509481193 -0.2610660198 -1.3797806589 -0.3104007714
## 656 No 2.232972153 0.7543464360 0.0537344779 0.1496974528
## 657 No 0.812972782 0.4706296311 -0.2165710240 -0.0297982459
## 658 Yes -2.153321210 0.4287836828 0.2765692771 0.4925363620
## 659 No -1.156729662 0.8912095581 0.9962492396 -0.0988715058
## 660 Yes -2.018932848 0.4082192097 0.2114759164 0.4143276257
## 661 No -1.445108950 0.2673032317 -0.1714902402 0.1369894646
## 662 No -2.177431842 0.4133488394 0.2508323695 0.5078947262
## 663 No 1.367403811 0.8592609603 0.4350925529 -0.0977733814
## 664 No -0.579147415 1.1716749926 1.4366894521 -0.3935357362
## 665 No -1.180627555 -0.1519698011 -1.0380846180 -0.1135962329
## 666 Yes -1.313089719 -0.1124916092 -0.9358602014 -0.0606566696
## 667 No -0.505065310 0.9654233043 1.0156716335 -0.2441607788
## 668 Yes -1.643976554 0.1775991819 -0.3087408866 0.1922377337
## 669 No 1.169102046 1.0337211608 0.8177081552 -0.2097959811
## 670 No -0.701617260 1.1122044242 1.3436531849 -0.3478401265
## 671 No -0.523295116 1.0619366735 1.2095349510 -0.3187492060
## 672 Yes -1.268448023 -0.1871453191 -1.0892715301 -0.1244142384
## 673 No -1.484346965 0.6446257899 0.5741714432 0.1246660278
## 674 Yes 0.430135923 -1.5517783514 1.8572033882 -0.1538286827
## 675 No 3.077450325 -1.8657046214 0.7097431120 0.3522378759
## 676 No -0.691618253 1.0045053521 1.1287478095 -0.2355177432
## 677 Yes -1.904570742 0.2671231959 -0.0850704256 0.3255529069
## 678 No -0.619702252 -0.5127103294 -1.8463272616 -0.4815243489
## 679 No 0.906755103 0.4494703300 -0.2770429071 -0.0025327888
## 680 Yes -1.186639480 -0.2411897934 -1.2098808811 -0.1813220452
## 681 No 1.390674210 0.7687721536 0.2516354903 -0.0054802042
## 682 No -1.360962414 -0.0402878268 -0.7864271725 -0.0050465637
## 683 No 1.516842469 -2.2339028159 0.3055597089 0.0077711199
## 684 No -1.333729588 -0.1440189205 -0.9930277046 -0.0790029582
## 685 No -1.684101533 0.0874442824 -0.4764785651 0.1647234063
## 686 No -0.604423912 1.0442991624 1.1903543312 -0.2844312734
## 687 Yes -1.418194032 -2.2835919274 0.7844313479 0.1888948386
## 688 No -0.389125464 1.0112963117 1.0827018384 -0.2562266775
## 689 No 1.183898927 0.5184632244 -0.1960822022 -0.0419403422
## 690 No -2.170821051 0.4089816091 0.2410861593 0.5032961156
## 691 No 0.074205758 0.2817288957 -0.4389502877 -0.0750416327
## 692 No -0.834537702 1.0279002426 1.2025478794 -0.2274368430
## 693 Yes -1.165519115 -0.1544648505 -1.0460843523 -0.1071318536
## 694 No -1.342602374 -1.6983571966 1.9137392396 0.1825298350
## 695 No -2.167515655 0.4067979940 0.2362130542 0.5009968103
## 696 No 2.317047742 0.8528065875 0.2293566606 0.1616052911
## 697 Yes -1.600302648 0.1147498462 -0.4394354471 0.1544698503
## 698 No 1.321749700 -1.9467372493 0.9053559759 0.0144780602
## 699 No 1.579207336 0.9953192003 0.6594364020 -0.1072367869
## 700 No 1.210790517 0.9292660418 0.6036672542 -0.1343938736
## 701 No 0.439287844 0.2662407856 -0.5409097678 -0.0960510437
## 702 No 0.234990959 0.1578514027 -0.7126253697 -0.0875274048
## 703 No -2.142619673 0.4210176552 0.2594642744 0.4835131502
## 704 No -1.580489627 0.1388616329 -0.3962307580 0.1553381962
## 705 Yes -0.082916959 0.1422332785 -0.6801035426 -0.0992017910
## 706 No 0.997861324 0.9387218314 0.6659107778 -0.2140900186
## 707 No 0.881378370 -2.4578046481 -0.0042496765 -0.1036552435
## 708 No 0.006018899 0.2526633607 -0.4826995236 -0.0562528850
## 709 No 0.069042241 0.1979371552 -0.6005777808 -0.1297783035
## 710 Yes -2.185695331 0.4188078772 0.2630151322 0.5136429896
## 711 No -0.274007379 0.0530352650 -0.8165792443 -0.1062673391
## 712 No -0.370339377 1.1417296028 1.3362598121 -0.3636058185
## 713 No -0.479711592 -0.0986783197 -1.0706053234 -0.1971095322
## 714 No 0.015368512 1.3182264624 1.6107485063 -0.6297554425
## 715 No 1.191172140 0.3964440509 -0.4377088509 0.0357245498
## 716 No 1.230004587 1.0457646056 0.8290831544 -0.2033252725
## 717 No 0.358314608 0.1934961176 -0.6666833808 -0.1168615425
## 718 No -0.752482592 0.4477768830 0.0476788331 -0.0132972179
## 719 No 2.179619376 -1.5672928219 1.4758666604 0.0994265889
## 720 No -2.147970441 0.4249006690 0.2680167757 0.4880247561
## 721 No -0.430995578 1.2162221541 1.4957581127 -0.4524645966
## 722 Yes -0.934586341 -0.2562325912 -1.2882156388 -0.2223063940
## 723 Yes -1.685949334 0.1662580307 -0.3228387904 0.2025472441
## 724 Yes 0.894142747 -2.2652004934 0.3691505784 -0.0748946393
## 725 No -1.680623950 -1.8839304789 1.6131892857 0.3966576355
## 726 No -1.429088383 0.6339094568 0.5418793347 0.1447022075
## 727 No -1.001909455 -0.1887858413 -1.1436797314 -0.1930882774
## 728 Yes 0.679910616 -2.2865750335 0.3699273006 -0.0861411573
## 729 No 1.543088643 0.8225504448 0.3273917753 -0.0400576963
## 730 Yes 1.049696523 0.3921795666 -0.4169607059 -0.0177531697
## 731 No -2.060438882 0.4634155536 0.3271122236 0.4364818479
## 732 No -0.186597645 0.1852052282 -0.5759142990 -0.0849492207
## 733 No 2.048719231 0.8955791003 0.3684967892 0.0433048950
## 734 No 0.247858324 0.0713168642 -0.8833521309 -0.1340167184
## 735 No -0.503075603 0.5360450217 0.1713463585 -0.0312524707
## 736 No 0.907073946 -0.0762188964 -1.3017017490 -0.1487501722
## 737 No 2.751283546 0.6855582725 -0.1856985633 0.2701728350
## 738 No 0.922089225 -1.9760377019 0.9278518384 -0.0241116165
## 739 No 2.745337154 -1.5754721202 1.3447902545 0.2559643959
## 740 No 0.426971904 0.6175377408 0.1493480543 -0.1457867757
## 741 No -1.140048192 -0.2311820295 -1.1993166068 -0.1909494481
## 742 Yes -0.411986845 -0.2929758992 -1.4615487622 -0.3045337759
## 743 No -0.302329766 1.1874193162 1.4132256794 -0.4145428661
## 744 No -1.643972230 0.2081815628 -0.2489471107 0.1918850386
## 745 No 3.428094186 -1.7563385144 0.8533959977 0.3936454341
## 746 No 3.586307177 -1.7888998191 0.7573563345 0.4467513047
## 747 No -0.944158278 -2.5491503654 0.1778102546 -0.1026244725
## 748 No -0.878537118 1.0482427045 1.2522583356 -0.2863135505
## 749 No 2.047305030 0.6652564041 -0.0836990854 0.1472279869
## 750 No -0.518047766 0.4062174657 -0.0803960985 0.0108591034
## 751 No 1.983285330 0.8529727801 0.2983366483 0.0335989639
## 752 No -1.064460315 -0.0529255034 -0.8682349912 -0.0746159835
## 753 No -0.963854549 -0.3374820463 -1.4398228535 -0.2906182365
## 754 Yes 0.298740306 -2.5252009458 -0.0180899107 -0.2360314581
## 755 No -0.345996608 1.2863486833 1.6186332586 -0.5737628477
## 756 No -2.124387321 0.4422508166 0.2975190655 0.4765860679
## 757 Yes -0.428057904 -0.0806525520 -1.0458382932 -0.1844946018
## 758 No 2.472954157 0.8059848124 0.1066194725 0.1805252313
## 759 No -2.165036608 0.4051602827 0.2325582254 0.4992723313
## 760 Yes -0.029688187 -0.0029776516 -0.9728568960 -0.1766546209
## 761 Yes -1.261342692 -0.1044042613 -0.9300642112 -0.0705020059
## 762 No 1.569625251 0.9893120871 0.6500379624 -0.1285457153
## 763 No -0.354307039 1.2731613139 1.5937914242 -0.5406315179
## 764 No -1.594732604 0.3807631152 0.0784460847 0.2045097546
## 765 No -0.287494106 0.0983480240 -0.7243230568 -0.1537444560
## 766 No -1.801751759 0.5837119553 0.5142979145 0.2894924882
## 767 No 0.501000967 0.4492214140 -0.1963638048 -0.0498388712
## 768 No -0.752287842 0.1719052450 -0.4917170020 -0.0113644777
## 769 No -1.880369068 0.5438112780 0.4506471001 0.3450452499
## 770 Yes -0.256461578 -0.1550976312 -1.2246156388 -0.2156215353
## 771 Yes -2.179910889 0.4149865507 0.2544871983 0.5096192052
## 772 Yes -0.842846817 -0.2729751119 -1.3383481659 -0.2563660230
## 773 Yes 0.653585961 0.1101683639 -0.8874586815 -0.1386034802
## 774 No 3.236907612 0.6452928753 -0.3637288991 0.4290971829
## 775 No -1.782117234 0.2195868746 -0.2005127124 0.2463115318
## 776 Yes -1.101132029 -0.2462133028 -1.2363297703 -0.1938092032
## 777 No 2.328374615 0.4429224276 -0.5738844398 0.1474032978
## 778 Yes -1.723759091 0.1515283635 -0.3442913921 0.2085134569
## 779 No 1.766798933 0.9217592201 0.4774355433 -0.0538223436
## 780 No -1.626503007 0.2007147476 -0.2669338159 0.1889701559
## 781 No -0.590954027 0.4217214443 -0.0351877482 -0.0124803322
## 782 Yes -1.646089483 0.0623327085 -0.5325192736 0.1382813951
## 783 No 0.311061105 1.0744357382 1.0691161408 -0.3179951819
## 784 Yes 1.953432764 -2.1986226649 0.2880204495 0.0198482236
## 785 No 1.157955043 1.0840108551 0.9189525063 -0.2441107897
## 786 No -0.189852042 0.4632954375 -0.0316314372 -0.0843062233
## 787 No -0.182131386 0.1380091505 -0.6683471199 -0.1186808761
## 788 No 1.658299685 0.9647724373 0.5842163662 -0.1130433018
## 789 No 0.844790437 0.8668738805 0.5543604557 -0.1513107229
## 790 No 1.718097422 0.8396726159 0.3269232479 -0.0699231335
## 791 No -1.984661766 0.5088832504 0.4019879391 0.3912734316
## 792 No 0.017621739 0.4025784924 -0.1919301933 -0.0555195966
## 793 No -1.577856377 0.2143321025 -0.2499276651 0.1891764723
## 794 No -1.402019743 -0.0528256539 -0.8030033935 0.0032839973
## 795 No 0.237963047 0.2194376944 -0.5928699404 -0.0848993476
## 796 No -1.514484261 0.6123477494 0.5161315444 0.1666985309
## 797 No -2.178258191 0.4138947432 0.2520506458 0.5084695526
## 798 Yes 2.222486439 0.5919214960 -0.2626077093 0.1911957956
## 799 No 2.097419072 -1.4979183454 1.6287497737 0.0513784138
## 800 Yes -0.398429662 -0.2903840332 -1.4595156664 -0.2877795344
## 801 No -0.995556301 0.8870605562 0.9567099166 -0.1183682895
## 802 No 0.428675364 0.6190437099 0.1503752716 -0.0713042397
## 803 Yes -0.867509713 -0.2200270682 -1.2306133233 -0.2257961353
## 804 No 1.936363311 0.9094523048 0.4190608681 -0.0153836574
## 805 No -0.919366763 0.2848725717 -0.2389742433 0.0410341867
## 806 No 3.050031277 0.6372242254 -0.3404923268 0.3305675558
## 807 Yes 1.213514445 0.1822957316 -0.8597238709 -0.0137200857
## 808 Yes -1.359346405 -0.1270959033 -0.9552611401 -0.0611833419
## 809 Yes 2.205777418 0.4658907919 -0.5052585676 0.1708220713
## 810 Yes 2.847600120 0.6594518806 -0.2561475903 0.2882541588
## 811 No -0.844588905 0.9173491609 0.9865066702 -0.1376680767
## 812 No -0.992189274 0.7532071641 0.6933554800 -0.0706712578
## 813 No -1.823130668 -1.9256843203 1.5582356836 0.4664494989
## 814 No 0.015231636 0.0931668542 -0.7947268842 -0.1317119758
## 815 Yes -1.034653249 -0.2924866378 -1.3388312167 -0.2453955409
## 816 No 2.040415272 0.4083436645 -0.5839441393 0.1167645009
## 817 Yes 0.422277993 -0.2392929241 -1.5219378020 -0.2801704929
## 818 No 2.222438148 0.7828295928 0.1132656344 0.0664286098
## 819 No 2.536566506 0.4998641083 -0.5070229305 0.3041523799
## 820 No 0.764170916 0.4403408043 -0.2668126413 0.0017697411
## 821 No 1.626584603 0.2826285120 -0.7466919579 0.0572906561
## 822 No -1.287315744 -0.0051380982 -0.7322479331 -0.0056590006
## 823 No -0.248379102 1.1818877416 1.3925796459 -0.4535007885
## 824 Yes -0.301176802 -0.1003577733 -1.1091611305 -0.1970771927
## 825 Yes -0.391736998 -2.7058426658 -0.2336039503 -0.2935048057
## 826 No -1.690154773 0.5312509038 0.3903157091 0.2600750127
## 827 Yes 1.888469307 0.6026665993 -0.1734007352 0.0869725543
## 828 No -0.611852042 0.6155715943 0.3492908063 -0.0776036313
## 829 Yes 1.991976537 0.2903418714 -0.8059552475 0.1588397365
## 830 No -0.980644345 0.8632440423 0.9066167596 -0.0907064609
## 831 No 1.775803697 0.9037369117 0.4396586320 -0.0177617544
## 832 No 0.718857287 0.2497411986 -0.6294059092 -0.0485606073
## 833 Yes -0.833687139 -2.5745070275 0.1072323590 -0.1411876764
## 834 No 2.260440877 -1.8017775193 0.9995667308 0.1901909750
## 835 No 1.337255339 0.8023705821 0.3286442865 -0.0418567368
## 836 Yes -1.774999915 0.1474936983 -0.3424681751 0.2279543028
## 837 No 0.399803256 0.3223881132 -0.4238938582 -0.0701186336
## 838 No -0.936380515 0.9873496770 1.1426417065 -0.1919920463
## 839 Yes 2.179479803 -1.9496163644 0.7276398861 0.1385179118
## 840 No 3.007587734 0.6876430897 -0.2337647485 0.3411367595
## 841 Yes -1.870374160 0.5632092709 0.4869701558 0.3273478706
## 842 No -1.620610449 0.4614663205 0.2408452781 0.2273380369
## 843 Yes -1.023022392 -0.3492787419 -1.4510995830 -0.2951376588
## 844 No -1.770685763 0.5954920279 0.5315732202 0.2714274578
## 845 No 1.904973786 0.7327121171 0.0784285267 0.0465846164
## 846 No -1.591395342 0.4257519598 0.1649955284 0.2394975009
## 847 No 2.562990804 0.7968981964 0.0699720805 0.2321600030
## 848 No 2.448714628 0.8098348109 0.1191622895 0.1698070877
## 849 No 3.439316005 0.6057491448 -0.4825666862 0.5018295425
## 850 No 1.325410808 0.5247232064 -0.2130330274 0.0160912213
## 851 No -2.064585965 0.3750610394 0.1550872316 0.4419157522
## 852 No -1.270831634 -0.0081009142 -0.7414348250 0.0008484596
## 853 No -0.237987106 1.3098001360 1.6431319218 -0.5733307816
## 854 Yes 2.361032923 0.5665144575 -0.3407851422 0.2447449196
## 855 No 2.329768106 0.8426739392 0.2073056695 0.1488355701
## 856 Yes -1.669227253 0.0776180144 -0.4984075380 0.1543765324
## 857 No 2.122174298 0.7178928761 0.0050411744 0.1175462271
## 858 No 1.525047644 1.0101725220 0.6993812932 -0.1170107675
## 859 No -1.485682414 0.7488498410 0.7791125252 0.0811161399
## 860 No 2.126009898 0.6413522184 -0.1446907270 0.0864714305
## 861 Yes -0.215244250 -2.2679155163 0.5828072098 -0.0650239194
## 862 Yes -0.830151303 -0.3721395774 -1.5331213440 -0.3316313062
## 863 Yes 0.114865431 -0.0540680727 -1.1012975681 -0.1765223549
## 864 Yes -1.039427478 -0.2001567792 -1.1587903641 -0.1792721530
## 865 No 0.189592082 1.0690363805 1.0834071178 -0.3579944511
## 866 No -2.054663910 0.4622466658 0.3236441072 0.4384648127
## 867 Yes 1.671397530 0.6340903128 -0.0683788776 0.0537645154
## 868 No -1.999511429 0.3731021012 0.1388666250 0.4199836450
## 869 No 2.731246468 0.7385640913 -0.0773672992 0.2348840688
## 870 No 1.969118266 0.4985090097 -0.3937557934 0.1246071431
## 871 No -0.337513664 1.2842380936 1.6127883704 -0.5717425031
## 872 Yes 0.535123171 0.9429095692 0.7657989874 -0.2273546168
## 873 No 1.452114263 0.2842226603 -0.7091709903 0.0603258912
## 874 No -1.865223934 0.2807446057 -0.0660609278 0.3183069556
## 875 Yes -0.025739745 -0.2781888926 -1.5088411669 -0.3096148870
## 876 No 0.496305932 0.7291602711 0.3532321710 -0.1158610197
## 877 No 1.054255883 0.8316512012 0.4422478896 -0.0631184354
## 878 No -0.411139432 0.5047346511 0.0933930243 -0.0981866131
## 879 Yes -0.214392747 -0.4181255755 -1.7425906049 -0.4297736850
## 880 No -1.238466984 -1.6361870113 2.0158575778 0.1282453932
## 881 Yes -0.888712772 -0.2038031161 -1.1951268988 -0.2060203744
## 882 No 2.972601376 0.5529783076 -0.4904362648 0.3562221762
## 883 No -0.319042954 0.9175777506 0.8845197895 -0.2033995207
## 884 No -2.177431842 0.4133488394 0.2508323695 0.5078947262
## 885 No -0.584445282 -2.5839786934 0.0401241403 -0.1717951582
## 886 No 0.945607898 -2.5262916568 -0.1486264625 -0.2074152378
## 887 No 0.730940347 0.2196145047 -0.6894456584 -0.1071777225
## 888 Yes 2.332972033 0.5665668901 -0.3331847860 0.1526488525
## 889 No 0.440689837 0.1474303782 -0.7736790271 -0.0855220156
## 890 Yes 1.744270485 0.3174712920 -0.7010693455 0.0216148380
## 891 No 0.513182458 -2.1509374044 0.6673023988 -0.0517576999
## 892 Yes -2.102234090 0.3636715954 0.1399692287 0.4555855301
## 893 No 1.657301836 0.7272110534 0.1181281041 -0.0251997308
## 894 No 0.457673081 0.0741500082 -0.9185364846 -0.1683565802
## 895 No 3.373432813 0.5830455387 -0.5132001642 0.4671910550
## 896 No 2.032276355 0.3639354795 -0.6698348771 0.1489419672
## 897 Yes -0.328255504 -0.2670068359 -1.4270396475 -0.3178720101
## 898 No 1.561043715 0.4167998751 -0.4723473183 0.0998332100
## 899 No -2.161418582 0.4322760103 0.2849661847 0.4939584313
## 900 Yes -0.463411359 -0.3063249432 -1.4774471902 -0.3063604629
## 901 Yes -0.150461184 -0.1279512821 -1.1926402596 -0.2084233246
## 902 No 2.213129897 0.4170516907 -0.6029226110 0.2053816336
## 903 No 1.876172251 0.7937595000 0.2039745280 0.0224979983
## 904 Yes -0.187329921 -2.7230819049 -0.3073816726 -0.3079960149
## 905 No -1.456756243 0.0615890460 -0.5701289830 0.0793984076
## 906 No -0.681542804 0.1933733068 -0.4630039086 -0.0453278472
## 907 No -1.976012455 0.5087866646 0.3999477410 0.3979939668
## 908 No 3.200311644 0.6227745042 -0.4002938024 0.4183765271
## 909 Yes -0.680013377 -2.4169255009 0.3836127106 -0.0787852819
## 910 No -0.130524791 -2.5063001911 0.1026708573 -0.1890784008
## 911 No 3.100243750 0.6862269724 -0.2563477811 0.4122658031
## 912 No -1.855501748 0.5620075408 0.4814872277 0.3365554530
## 913 No 0.037563168 1.3240372908 1.6170661759 -0.5987722294
## 914 Yes -1.051463681 -2.5632134146 0.1710627174 -0.0812036198
## 915 No -0.066445476 -2.2419160623 0.6048905810 -0.0957891988
## 916 No 1.562581534 1.0055597726 0.6825312407 -0.0973557726
## 917 No 0.005022434 0.1528149650 -0.6773176279 -0.0743532975
## 918 No 0.291831878 -0.1696096431 -1.3610707347 -0.2268250721
## 919 No -0.337506198 1.1724007756 1.3906571657 -0.4071188898
## 920 No -1.852374807 0.5571447559 0.4715436592 0.3280380091
## 921 No -0.598952410 0.0437140690 -0.7705400923 -0.1093096137
## 922 No 1.581207693 0.7362905590 0.1517700662 -0.0656642316
## 923 No 0.064352107 -2.3162567041 0.4335883448 -0.0897120376
## 924 No 0.131277009 0.2852660077 -0.4429733910 -0.0909327836
## 925 Yes -0.872901977 -2.5967344690 0.0717841867 -0.1533498350
## 926 Yes -0.642461298 -0.0668255623 -0.9764221225 -0.1857608718
## 927 No 2.737072439 0.6283443228 -0.2947048805 0.2684416459
## 928 No 0.289252548 0.1543543944 -0.7294585240 -0.1216225295
## 929 No -0.597043994 0.0479662073 -0.7628414505 -0.0981368143
## 930 No 0.295272782 0.2608884059 -0.5231700293 -0.0843319404
## 931 No -0.201092547 1.3683767765 1.7528268987 -0.6897123799
## 932 Yes -0.720861909 -2.6347547266 -0.0318613290 -0.1872757597
## 933 No -1.586777085 0.4204378584 0.1538713537 0.2311532238
## 934 No -0.757831523 -2.6221003553 0.0002017514 -0.1882438176
## 935 Yes -0.985695182 -0.1532439167 -1.0779073164 -0.1691896969
## 936 No 2.761538392 0.5467136091 -0.4600486051 0.3120785224
## 937 No -1.774157026 0.6036230675 0.5478227255 0.2870793416
## 938 No -1.489469632 0.7130220136 0.7086493709 0.1362408515
## 939 No -1.635417436 0.4686483749 0.2577177091 0.2317432045
## 940 No -0.109841490 0.1290519626 -0.7009395019 -0.0809912570
## 941 No 1.594222937 1.0107239990 0.6855887980 -0.0602593721
## 942 No 2.020968881 0.3909184929 -0.6144771740 0.1313520674
## 943 Yes -1.192758099 -0.1490511654 -1.0299161874 -0.1167109041
## 944 No -2.085159026 0.4485574577 0.3026058761 0.4526589492
## 945 No 0.759792476 -2.2518652834 0.4219295832 -0.0827485991
## 946 Yes 1.097492431 -2.2779460145 0.3041685749 -0.0800448092
## 947 No -1.182006938 0.8669207342 0.9524006320 -0.0348243195
## 948 Yes -1.489737082 -2.2367120583 0.8891760831 0.2377932994
## 949 No -0.966949186 -0.0860966589 -0.9509328610 -0.1412964984
## 950 No -0.773495578 0.3443545937 -0.1509377449 0.0141399834
## 951 No -0.956566434 0.2017682424 -0.3938953196 0.0318539189
## 952 No 0.138955666 -0.0566124143 -1.1113186655 -0.1629634439
## 953 Yes -1.770041822 0.1442182756 -0.3497778328 0.2245053448
## 954 No 0.023024650 1.3093005709 1.5906064351 -0.5741509567
## 955 No -1.448095094 0.0581769120 -0.5784939530 0.0786105063
## 956 No -0.048176408 0.1219639271 -0.7262088718 -0.1172889656
## 957 No 0.382809605 0.1910093508 -0.6766815486 -0.1028473314
## 958 No -1.582744705 -2.0021601059 1.3637825614 0.3465073791
## 959 No -1.705751462 0.6240949082 0.5751382004 0.2489800484
## 960 No -0.959129446 -2.3167671729 0.6315356869 0.0637824387
## 961 No 1.347199679 -1.7037073726 1.3766247038 -0.0413473129
## 962 Yes -1.753514843 0.1333002000 -0.3741433582 0.2130088182
## 963 Yes -0.238289481 -2.7370282588 -0.3245188498 -0.3108040463
## 964 Yes -2.027096882 0.5014570136 0.3954543752 0.4100889834
## 965 No -2.107152008 0.4314334969 0.2731936668 0.4658863165
## 966 No 1.946124762 0.8941914159 0.3863871768 0.0275454990
## 967 Yes -0.876649752 -0.4000471895 -1.5778377486 -0.3625169388
## 968 Yes -1.012279856 -0.3563754911 -1.4669371745 -0.3026104011
## 969 No 1.476775848 0.4027597603 -0.4825157740 0.0700885545
## 970 No 1.098309169 0.7482257604 0.2707576173 -0.0775367534
## 971 Yes -0.401736841 -1.4954627179 2.1312659205 -0.1359564325
## 972 No 1.358726322 0.7169966215 0.1568054559 -0.0091105262
## 973 Yes 3.017669951 0.6392555055 -0.3296746939 0.3092092010
## 974 Yes -1.353561963 -0.1309172298 -0.9637890741 -0.0652071262
## 975 No -0.802218360 -0.0299662256 -0.8748132303 -0.0909577743
## 976 Yes 2.652503815 -1.8666299566 0.7947297018 0.2182984851
## 977 No -0.288206298 0.5369433560 0.1313879884 -0.0659240909
## 978 No -1.640015899 0.6747687248 0.6620959522 0.2075198270
## 979 No -1.068402284 0.9417796786 1.0781613633 -0.1224409210
## 980 No -0.320950109 0.6639010798 0.3864184318 -0.0831255163
## 981 Yes -1.077561421 -0.3132490924 -1.3706933490 -0.2571991210
## 982 No -0.020574489 1.3350075411 1.6504602748 -0.6205426048
## 983 Yes 0.538608819 -2.1313347287 0.7007043727 -0.0566099542
## 984 No -1.390649128 0.3129926870 -0.0930961556 0.1448815820
## 985 No -2.182389936 0.4166242621 0.2581420271 0.5113436842
## 986 No -1.450317558 0.7718565412 0.8168727751 0.0919563219
## 987 No -1.242685039 0.8608802324 0.9524241437 -0.0275034102
## 988 No 1.352736248 0.6303702934 -0.0115286752 -0.0012366713
## 989 No -0.403532037 1.1416522918 1.3432350849 -0.3904123568
## 990 No -1.459926614 0.6427918515 0.5654341352 0.1401006226
## 991 No -1.814797974 0.4688174039 0.2920959682 0.2973085046
## 992 No -1.833118709 0.5752063061 0.5033310024 0.3147407406
## 993 Yes 0.494162723 0.2455181767 -0.5921999404 -0.0990117343
## 994 Yes 0.077984841 0.3799827611 -0.2479698150 -0.0583242240
## 995 Yes -0.544750016 -2.7384125860 -0.2673118528 -0.2810191025
## 996 No -0.124208071 1.3607365835 1.7217598857 -0.6453501650
## 997 No -1.306221341 -0.1201394316 -0.9519172619 -0.0724872845
## 998 Yes -0.632786400 -0.3099770403 -1.4510233731 -0.3111329011
## 999 Yes 0.098675866 -2.1823496189 0.6889572366 -0.1070471347
# Means of scores for all the PC's classified by Survival status
tabmeansPC <- aggregate(teletype_pca[,2:5],by=list(Churn=telecom$Churn),mean)
tabmeansPC
## Churn PC1 PC2 PC3 PC4
## 1 No 0.1507995 0.1833937 0.1466455 0.01294252
## 2 Yes -0.4331102 -0.5267238 -0.4211795 -0.03717211
tabmeansPC <- tabmeansPC[rev(order(tabmeansPC$Churn)),]
tabmeansPC
## Churn PC1 PC2 PC3 PC4
## 2 Yes -0.4331102 -0.5267238 -0.4211795 -0.03717211
## 1 No 0.1507995 0.1833937 0.1466455 0.01294252
tabfmeans <- t(tabmeansPC[,-1])
tabfmeans
## 2 1
## PC1 -0.43311022 0.15079951
## PC2 -0.52672380 0.18339371
## PC3 -0.42117951 0.14664550
## PC4 -0.03717211 0.01294252
colnames(tabfmeans) <- t(as.vector(tabmeansPC[1]$Churn))
tabfmeans
## Yes No
## PC1 -0.43311022 0.15079951
## PC2 -0.52672380 0.18339371
## PC3 -0.42117951 0.14664550
## PC4 -0.03717211 0.01294252
# Standard deviations of scores for all the PC's classified by Survival status
tabsdsPC <- aggregate(teletype_pca[,2:5],by=list(Churn=telecom$Churn),sd)
tabfsds <- t(tabsdsPC[,-1])
colnames(tabfsds) <- t(as.vector(tabsdsPC[1]$Churn))
tabfsds
## No Yes
## PC1 1.5284976 1.232376
## PC2 0.9544560 1.078885
## PC3 0.7769390 0.811879
## PC4 0.2510594 0.223820
t.test(PC1~telecom$Churn,data=teletype_pca)
##
## Welch Two Sample t-test
##
## data: PC1 by telecom$Churn
## t = 6.1415, df = 551.12, p-value = 1.566e-09
## alternative hypothesis: true difference in means between group No and group Yes is not equal to 0
## 95 percent confidence interval:
## 0.3971531 0.7706664
## sample estimates:
## mean in group No mean in group Yes
## 0.1507995 -0.4331102
t.test(PC2~telecom$Churn,data=teletype_pca)
##
## Welch Two Sample t-test
##
## data: PC2 by telecom$Churn
## t = 9.3721, df = 405.69, p-value < 2.2e-16
## alternative hypothesis: true difference in means between group No and group Yes is not equal to 0
## 95 percent confidence interval:
## 0.5611678 0.8590672
## sample estimates:
## mean in group No mean in group Yes
## 0.1833937 -0.5267238
t.test(PC3~telecom$Churn,data=teletype_pca)
##
## Welch Two Sample t-test
##
## data: PC3 by telecom$Churn
## t = 9.7822, df = 431.77, p-value < 2.2e-16
## alternative hypothesis: true difference in means between group No and group Yes is not equal to 0
## 95 percent confidence interval:
## 0.4537351 0.6819149
## sample estimates:
## mean in group No mean in group Yes
## 0.1466455 -0.4211795
t.test(PC4~telecom$Churn,data=teletype_pca)
##
## Welch Two Sample t-test
##
## data: PC4 by telecom$Churn
## t = 2.999, df = 498.29, p-value = 0.002844
## alternative hypothesis: true difference in means between group No and group Yes is not equal to 0
## 95 percent confidence interval:
## 0.01728354 0.08294572
## sample estimates:
## mean in group No mean in group Yes
## 0.01294252 -0.03717211
## F ratio tests
var.test(PC1~telecom$Churn,data=teletype_pca)
##
## F test to compare two variances
##
## data: PC1 by telecom$Churn
## F = 1.5383, num df = 740, denom df = 257, p-value = 5.458e-05
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 1.251924 1.871549
## sample estimates:
## ratio of variances
## 1.538306
var.test(PC2~telecom$Churn,data=teletype_pca)
##
## F test to compare two variances
##
## data: PC2 by telecom$Churn
## F = 0.78264, num df = 740, denom df = 257, p-value = 0.01411
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 0.6369370 0.9521815
## sample estimates:
## ratio of variances
## 0.7826386
var.test(PC3~telecom$Churn,data=teletype_pca)
##
## F test to compare two variances
##
## data: PC3 by telecom$Churn
## F = 0.91578, num df = 740, denom df = 257, p-value = 0.3782
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 0.745292 1.114165
## sample estimates:
## ratio of variances
## 0.9157801
var.test(PC4~telecom$Churn,data=teletype_pca)
##
## F test to compare two variances
##
## data: PC4 by telecom$Churn
## F = 1.2582, num df = 740, denom df = 257, p-value = 0.02905
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 1.023977 1.530782
## sample estimates:
## ratio of variances
## 1.258215
# Levene's tests (one-sided)
library(car)
## Loading required package: carData
(LTPC1 <- leveneTest(PC1~telecom$Churn,data=teletype_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
## Df F value Pr(>F)
## group 1 32.68 1.435e-08 ***
## 997
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC1_1sided <- LTPC1[[3]][1]/2)
## [1] 7.174053e-09
(LTPC2 <- leveneTest(PC2~telecom$Churn,data=teletype_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
## Df F value Pr(>F)
## group 1 7.3856 0.006689 **
## 997
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC2_1sided=LTPC2[[3]][1]/2)
## [1] 0.003344413
(LTPC3 <- leveneTest(PC3~telecom$Churn,data=teletype_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
## Df F value Pr(>F)
## group 1 0.5699 0.4505
## 997
(p_PC3_1sided <- LTPC3[[3]][1]/2)
## [1] 0.2252423
(LTPC4 <- leveneTest(PC4~telecom$Churn,data=teletype_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
## Df F value Pr(>F)
## group 1 2.2864 0.1308
## 997
(p_PC4_1sided <- LTPC4[[3]][1]/2)
## [1] 0.06541319
# Plotting the scores for the first and second components
plot(teletype_pca$PC1, teletype_pca$PC2,pch=ifelse(teletype_pca$Churn == "S",1,16),xlab="PC1", ylab="PC2", main="49 telecom against values for PC1 & PC2")
plot(eigen_telecom, xlab = "Component number", ylab = "Component variance", type = "l", main = "Scree diagram")
plot(log(eigen_telecom), xlab = "Component number",ylab = "log(Component variance)", type="l",main = "Log(eigenvalue) diagram")
print(summary(telecom_pca))
## Importance of components:
## PC1 PC2 PC3 PC4
## Standard deviation 1.4795 1.0353 0.8241 0.24519
## Proportion of Variance 0.5472 0.2680 0.1698 0.01503
## Cumulative Proportion 0.5472 0.8152 0.9850 1.00000
diag(cov(telecom_pca$x))
## PC1 PC2 PC3 PC4
## 2.18880975 1.07192119 0.67915089 0.06011817
xlim <- range(telecom_pca$x[,1])
telecom_pca$x[,1]
## [1] -2.015467453 -0.286167867 -1.580345244 -0.287614123 -1.294160708
## [6] -0.494044929 -0.020111087 -1.733455753 0.688536938 0.800699638
## [11] -1.254566657 -1.764971394 2.061385552 1.724378831 0.527494462
## [16] 3.161504599 -0.716173101 2.952410314 -1.254731788 -0.052469384
## [21] -1.611728253 -1.878281489 -2.175779144 0.775447113 0.410974980
## [26] -0.507827005 1.525172980 -2.009683010 2.415256278 -0.777763717
## [31] 2.848230035 -0.641013427 -0.300560723 -2.174952795 -1.519177173
## [36] 2.827024440 -1.194294975 0.756572527 0.995843188 -0.372576730
## [41] -1.361697679 1.595061949 -1.686527850 1.605413825 -0.714410979
## [46] 1.086026186 -1.658263057 -1.134762350 1.167167537 1.311538924
## [51] 1.264868979 -0.168370241 -0.085154857 -0.614912060 1.580551201
## [56] 0.176758767 2.346069747 3.020282165 -1.093507929 3.124480162
## [61] 1.531689184 1.870638938 0.648254123 -0.961557792 -0.545892972
## [66] -1.169962034 0.875427786 0.182493361 -0.796456606 -0.750675757
## [71] -1.698149465 -0.700659398 3.032428488 -0.313836135 -1.364614999
## [76] 2.554954116 0.197136523 -1.322542296 0.217664019 -0.734366957
## [81] -1.197382016 -1.296764834 -1.008206279 1.361647046 -0.806959336
## [86] -0.448546799 -0.084717836 -0.797431545 -0.891905672 -1.031259395
## [91] 0.227101041 -1.032457656 1.987686410 2.806811496 2.903210552
## [96] -0.708173758 1.543929464 -2.042972026 -0.686131807 0.606006347
## [101] -2.174952795 -2.187348029 0.918938002 0.828260114 3.004049207
## [106] -1.994145410 2.910881473 -1.044980444 1.113535949 -0.182569918
## [111] 1.806754913 0.473311559 1.079176733 0.624327885 0.802448837
## [116] -0.932457938 -0.881816122 -0.368163059 -1.021001971 0.088899116
## [121] 1.959011199 -2.026197593 -1.188782751 -1.447591995 -2.083725783
## [126] 0.539725647 0.209918439 -0.010898566 -2.182389936 1.396133635
## [131] -0.488380801 -0.576201423 0.757771042 -1.922916373 -1.742382162
## [136] -0.791376856 -0.275699196 -0.376504769 -0.576670736 -1.102697315
## [141] 2.637556123 -1.031083507 2.224966267 1.824074123 0.223919674
## [146] 2.412380218 -2.127246954 -1.754341192 -0.242980107 -0.751647226
## [151] -1.073099568 -0.640030879 3.111701929 1.786414072 -2.042218618
## [156] -0.565777248 -0.137336369 -1.581914961 -0.827824399 -1.813761641
## [161] -1.105125107 -0.277685139 -1.315154533 1.019911639 -1.878916383
## [166] -0.242720302 -1.210277456 2.362522478 0.533272788 -1.742987721
## [171] 0.839076685 -0.720591805 -0.540357577 1.661339506 -1.279821564
## [176] -1.130555556 -0.408013662 -0.743385170 -0.028474511 -0.446593399
## [181] -2.013814755 -1.760125634 -0.785685539 0.143094098 -0.627242566
## [186] -2.098928694 -0.938926300 -1.945864424 -1.845639560 -0.013645536
## [191] 0.532751459 -0.763753011 -0.241701043 3.239883891 -0.529586745
## [196] 0.041504261 -1.423797011 2.505245073 3.255949403 -2.165862957
## [201] 0.513172914 -0.591288638 2.940458725 -0.665132866 0.444015173
## [206] 0.294475844 1.216941856 -1.188292177 0.191402077 2.513449429
## [211] -1.714650062 -2.091491554 -0.496532742 -1.390183335 0.214739477
## [216] 0.714439146 0.750808255 0.986205791 1.855475220 -0.869756792
## [221] -1.223800243 0.018466833 -2.174952795 -1.575912620 -1.880644639
## [226] -0.790721995 0.228193786 -1.596508547 0.398788586 1.111447309
## [231] 2.117501542 1.498031583 -1.110615378 -0.109889215 -1.259735971
## [236] -1.569694178 -1.736715414 -0.556239678 -0.172771995 -1.764254088
## [241] 2.350509329 3.159196787 0.536800409 2.494646248 -0.892448846
## [246] -0.896128512 0.189676268 -0.429468453 -1.706412954 1.275306480
## [251] 1.483814874 -1.300333090 -1.602638415 0.317688173 -1.925680891
## [256] 1.147868075 2.752892848 2.138312705 -1.738525078 -0.543376534
## [261] -1.515062327 0.136554351 1.891387507 -0.576583362 1.787988537
## [266] 1.886173788 -0.642898886 0.428243968 -0.555691572 -0.019705730
## [271] 0.045191278 0.734348784 -2.098928694 0.531953653 -1.341993078
## [276] -0.915016951 1.984786439 -0.369501616 -1.096447796 -1.526109774
## [281] -1.406045462 -1.328385636 -2.089012507 0.967514972 -0.061965617
## [286] -0.280762554 -1.087855913 -1.351909265 -0.722508773 -1.449667016
## [291] -0.012310872 -0.156304632 -0.037168857 -0.538131197 -1.874672271
## [296] -2.174126447 1.892157482 1.137964837 0.461889938 -1.292412142
## [301] -0.517387135 -0.534272919 -0.869454569 1.184296677 0.571289095
## [306] -0.589184662 0.321175896 -0.050346927 1.299967751 0.905048451
## [311] -2.190653425 -0.039180670 1.731201079 -0.951062247 -0.988780961
## [316] 2.060995141 -0.199582997 0.522109306 0.414408076 0.687022178
## [321] 1.536586078 1.315341185 -1.768389124 -1.415338168 1.222586093
## [326] 1.805900140 -0.438710303 -1.061712015 -0.787641432 -0.135536917
## [331] -1.198343873 -1.990778442 1.335829067 -1.025166682 -1.132206039
## [336] 1.778571815 1.522412449 2.226159230 0.858588810 2.491325846
## [341] -0.144465070 2.277300407 1.370391266 -0.379837665 -1.018866996
## [346] -1.075427800 -0.969489948 -0.244584145 -0.989634656 2.602197147
## [351] -0.010310742 -1.223173899 -0.516709345 -0.955977575 -0.888255721
## [356] -0.756135568 -0.789894582 2.607862820 -0.942772675 1.163010501
## [361] -2.065476607 1.151186059 0.438417864 -0.854009680 -0.492185858
## [366] -0.708337001 -0.627774818 -2.192306123 2.700440177 3.286207534
## [371] -1.245912508 -1.042774548 -1.164255026 1.985072659 0.925935526
## [376] 0.888440164 -2.089838856 0.483999792 1.848300681 -0.328025642
## [381] 0.767308022 -1.671706299 1.770465319 -1.007321763 1.782055683
## [386] -1.653232760 1.759745750 -0.006995568 1.113139875 -1.781610707
## [391] 0.386039297 0.369844689 -1.499091860 -1.669436800 1.350609046
## [396] 2.158696031 1.314538651 0.173450140 -0.130133918 -1.562150792
## [401] -1.301600987 -1.886748566 2.680816993 1.037622041 -1.634917983
## [406] -0.145573011 2.064404873 0.791862939 -2.179910889 -2.184868983
## [411] -0.832954966 -0.778633681 -0.032724793 1.341582038 0.975572007
## [416] -0.632027926 2.648422726 -0.921588574 -0.144214218 -1.022541469
## [421] -1.984879235 -1.088903843 0.579968278 -0.791065474 -1.513035429
## [426] 0.622222000 2.155542216 -0.659936889 -0.490696660 1.112469866
## [431] -0.485346062 1.550248609 -1.583558920 -1.371043561 -1.017025873
## [436] -0.875376170 -1.164910240 3.408500081 0.638502621 -1.598987594
## [441] 0.211180231 1.941101101 2.308994549 -0.732085263 0.443198603
## [446] 2.403876406 -1.359346405 -0.573228064 -0.591232088 3.021994943
## [451] -0.197906966 -0.209341868 0.848218582 0.066115975 -0.336113247
## [456] 0.427460789 0.415018801 0.148720263 -2.150278386 -1.267621674
## [461] -2.046673375 -0.390588782 -0.686440899 -0.556957327 3.664449559
## [466] 0.522505972 2.716104695 2.469786466 -0.955326849 -1.114668310
## [471] -1.471717864 -1.599813943 -1.025952606 -0.734317916 -1.274232466
## [476] -0.143678059 0.536500814 -0.982752463 -0.726151046 -0.781912460
## [481] -1.896698650 -0.082609785 -0.028423837 3.184114370 -0.796080886
## [486] 2.252905439 -0.154616411 2.340036838 -1.280016908 2.512396435
## [491] -1.494985556 -1.237622292 1.267859891 -2.171647400 -1.058855892
## [496] -0.388707308 -0.211680600 -1.676064236 -0.281294057 1.257730880
## [501] 2.278696143 1.434933438 1.268504013 1.920925370 0.209019199
## [506] -0.768218171 -0.907988452 -0.942389187 -2.180737238 0.222646044
## [511] 2.407741051 -0.871838925 2.166835286 0.518969956 1.275796804
## [516] -0.565077168 -0.950971276 0.104039221 -1.855949878 2.726633388
## [521] -0.374523696 1.472148386 -0.271709891 0.873523356 1.504387949
## [526] 3.657915782 1.897145736 -1.217553028 2.257587627 -1.500482593
## [531] -0.218434082 -1.137368632 3.132456689 -1.104004587 -0.508759846
## [536] 1.681474070 -0.265534027 2.542959902 1.573912241 3.329555277
## [541] -1.149886328 -2.185695331 -0.665396450 -1.323252191 0.290128469
## [546] 0.702260442 2.604507411 2.025966641 -1.779151384 3.202674133
## [551] 3.362025767 -0.631283339 -1.443220224 0.252550667 0.961174074
## [556] -2.179910889 0.263281260 -0.921399911 -1.694017720 2.229702111
## [561] -2.054286986 -1.091137141 2.122587928 -1.199117557 1.673845329
## [566] -0.053270584 1.827997486 0.913308574 -1.502850478 -0.533484371
## [571] 0.544662525 -1.025617080 1.995752636 1.074332370 1.546446407
## [576] 0.657681147 -1.008960174 1.015632917 -2.155730345 -1.882222441
## [581] -1.264316279 -0.650186458 -2.194785170 -2.120650619 -0.850660892
## [586] 0.646164920 -2.066710087 2.864111448 2.481246350 3.258766168
## [591] -0.739914165 1.830504634 0.225588535 -1.755167541 -1.050844002
## [596] -1.011641489 -1.307500380 1.431220027 -0.310959295 -0.618218890
## [601] -2.148285852 1.582172879 1.697947741 1.019238499 2.277235189
## [606] 0.541065110 0.088344264 3.369738816 2.861716043 -1.768292598
## [611] -1.079432495 -0.302328719 1.900456036 0.724000688 -1.214170222
## [616] -1.885499395 2.900554160 1.600556406 -0.945466070 -1.396189849
## [621] 2.039311129 0.730658097 -1.638517480 -2.007603845 0.275487690
## [626] -0.070682533 2.883492436 3.459590282 1.603114530 1.843248199
## [631] 0.124450836 2.464690667 -1.922404657 -0.088247863 2.681607106
## [636] 0.688451585 1.588390422 2.358637105 -0.672257476 -0.101957181
## [641] 0.082126335 -1.028806835 1.524682283 -1.665774215 0.250225114
## [646] -1.753514843 0.733360701 -0.744266292 -0.105608419 -1.269632476
## [651] -1.275885164 -1.218584626 -1.604284883 -1.741017171 -0.509481193
## [656] 2.232972153 0.812972782 -2.153321210 -1.156729662 -2.018932848
## [661] -1.445108950 -2.177431842 1.367403811 -0.579147415 -1.180627555
## [666] -1.313089719 -0.505065310 -1.643976554 1.169102046 -0.701617260
## [671] -0.523295116 -1.268448023 -1.484346965 0.430135923 3.077450325
## [676] -0.691618253 -1.904570742 -0.619702252 0.906755103 -1.186639480
## [681] 1.390674210 -1.360962414 1.516842469 -1.333729588 -1.684101533
## [686] -0.604423912 -1.418194032 -0.389125464 1.183898927 -2.170821051
## [691] 0.074205758 -0.834537702 -1.165519115 -1.342602374 -2.167515655
## [696] 2.317047742 -1.600302648 1.321749700 1.579207336 1.210790517
## [701] 0.439287844 0.234990959 -2.142619673 -1.580489627 -0.082916959
## [706] 0.997861324 0.881378370 0.006018899 0.069042241 -2.185695331
## [711] -0.274007379 -0.370339377 -0.479711592 0.015368512 1.191172140
## [716] 1.230004587 0.358314608 -0.752482592 2.179619376 -2.147970441
## [721] -0.430995578 -0.934586341 -1.685949334 0.894142747 -1.680623950
## [726] -1.429088383 -1.001909455 0.679910616 1.543088643 1.049696523
## [731] -2.060438882 -0.186597645 2.048719231 0.247858324 -0.503075603
## [736] 0.907073946 2.751283546 0.922089225 2.745337154 0.426971904
## [741] -1.140048192 -0.411986845 -0.302329766 -1.643972230 3.428094186
## [746] 3.586307177 -0.944158278 -0.878537118 2.047305030 -0.518047766
## [751] 1.983285330 -1.064460315 -0.963854549 0.298740306 -0.345996608
## [756] -2.124387321 -0.428057904 2.472954157 -2.165036608 -0.029688187
## [761] -1.261342692 1.569625251 -0.354307039 -1.594732604 -0.287494106
## [766] -1.801751759 0.501000967 -0.752287842 -1.880369068 -0.256461578
## [771] -2.179910889 -0.842846817 0.653585961 3.236907612 -1.782117234
## [776] -1.101132029 2.328374615 -1.723759091 1.766798933 -1.626503007
## [781] -0.590954027 -1.646089483 0.311061105 1.953432764 1.157955043
## [786] -0.189852042 -0.182131386 1.658299685 0.844790437 1.718097422
## [791] -1.984661766 0.017621739 -1.577856377 -1.402019743 0.237963047
## [796] -1.514484261 -2.178258191 2.222486439 2.097419072 -0.398429662
## [801] -0.995556301 0.428675364 -0.867509713 1.936363311 -0.919366763
## [806] 3.050031277 1.213514445 -1.359346405 2.205777418 2.847600120
## [811] -0.844588905 -0.992189274 -1.823130668 0.015231636 -1.034653249
## [816] 2.040415272 0.422277993 2.222438148 2.536566506 0.764170916
## [821] 1.626584603 -1.287315744 -0.248379102 -0.301176802 -0.391736998
## [826] -1.690154773 1.888469307 -0.611852042 1.991976537 -0.980644345
## [831] 1.775803697 0.718857287 -0.833687139 2.260440877 1.337255339
## [836] -1.774999915 0.399803256 -0.936380515 2.179479803 3.007587734
## [841] -1.870374160 -1.620610449 -1.023022392 -1.770685763 1.904973786
## [846] -1.591395342 2.562990804 2.448714628 3.439316005 1.325410808
## [851] -2.064585965 -1.270831634 -0.237987106 2.361032923 2.329768106
## [856] -1.669227253 2.122174298 1.525047644 -1.485682414 2.126009898
## [861] -0.215244250 -0.830151303 0.114865431 -1.039427478 0.189592082
## [866] -2.054663910 1.671397530 -1.999511429 2.731246468 1.969118266
## [871] -0.337513664 0.535123171 1.452114263 -1.865223934 -0.025739745
## [876] 0.496305932 1.054255883 -0.411139432 -0.214392747 -1.238466984
## [881] -0.888712772 2.972601376 -0.319042954 -2.177431842 -0.584445282
## [886] 0.945607898 0.730940347 2.332972033 0.440689837 1.744270485
## [891] 0.513182458 -2.102234090 1.657301836 0.457673081 3.373432813
## [896] 2.032276355 -0.328255504 1.561043715 -2.161418582 -0.463411359
## [901] -0.150461184 2.213129897 1.876172251 -0.187329921 -1.456756243
## [906] -0.681542804 -1.976012455 3.200311644 -0.680013377 -0.130524791
## [911] 3.100243750 -1.855501748 0.037563168 -1.051463681 -0.066445476
## [916] 1.562581534 0.005022434 0.291831878 -0.337506198 -1.852374807
## [921] -0.598952410 1.581207693 0.064352107 0.131277009 -0.872901977
## [926] -0.642461298 2.737072439 0.289252548 -0.597043994 0.295272782
## [931] -0.201092547 -0.720861909 -1.586777085 -0.757831523 -0.985695182
## [936] 2.761538392 -1.774157026 -1.489469632 -1.635417436 -0.109841490
## [941] 1.594222937 2.020968881 -1.192758099 -2.085159026 0.759792476
## [946] 1.097492431 -1.182006938 -1.489737082 -0.966949186 -0.773495578
## [951] -0.956566434 0.138955666 -1.770041822 0.023024650 -1.448095094
## [956] -0.048176408 0.382809605 -1.582744705 -1.705751462 -0.959129446
## [961] 1.347199679 -1.753514843 -0.238289481 -2.027096882 -2.107152008
## [966] 1.946124762 -0.876649752 -1.012279856 1.476775848 1.098309169
## [971] -0.401736841 1.358726322 3.017669951 -1.353561963 -0.802218360
## [976] 2.652503815 -0.288206298 -1.640015899 -1.068402284 -0.320950109
## [981] -1.077561421 -0.020574489 0.538608819 -1.390649128 -2.182389936
## [986] -1.450317558 -1.242685039 1.352736248 -0.403532037 -1.459926614
## [991] -1.814797974 -1.833118709 0.494162723 0.077984841 -0.544750016
## [996] -0.124208071 -1.306221341 -0.632786400 0.098675866
telecom_pca$x
## PC1 PC2 PC3 PC4
## [1,] -2.015467453 0.3063516984 0.0120502201 0.3952287653
## [2,] -0.286167867 0.5013439720 0.0615892254 -0.0753083935
## [3,] -1.580345244 0.0591421382 -0.5512321189 0.1140939064
## [4,] -0.287614123 0.7983943370 0.6445959152 -0.1696250516
## [5,] -1.294160708 -0.1237314581 -0.9613547414 -0.0709556042
## [6,] -0.494044929 -0.3379468993 -1.5326506543 -0.3329395336
## [7,] -0.020111087 0.0003749667 -0.9685190929 -0.1613687025
## [8,] -1.733455753 0.4319562059 0.2043525014 0.2789892675
## [9,] 0.688536938 -0.0510378498 -1.2097481522 -0.1275878542
## [10,] 0.800699638 0.9284002528 0.6841006823 -0.1865781716
## [11,] -1.254566657 0.2600970846 -0.2216823424 0.0644229830
## [12,] -1.764971394 0.6268866250 0.5916904672 0.2774977466
## [13,] 2.061385552 0.4838318990 -0.4400631575 0.0956542225
## [14,] 1.724378831 0.3072806955 -0.7177116306 0.0522494039
## [15,] 0.527494462 -0.1112877649 -1.2945144595 -0.1843081668
## [16,] 3.161504599 0.5720136417 -0.4917171390 0.4115436863
## [17,] -0.716173101 1.0901673293 1.3032764892 -0.3397861962
## [18,] 2.952410314 0.6478858084 -0.2992142283 0.2764189167
## [19,] -1.254731788 0.1623572800 -0.4124580865 0.0517707540
## [20,] -0.052469384 -0.0261847489 -1.0136995538 -0.1778530396
## [21,] -1.611728253 -2.1930906514 0.9970540300 0.3085286329
## [22,] -1.878281489 0.5620845058 0.4865222098 0.3184532575
## [23,] -2.175779144 0.4122570318 0.2483958170 0.5067450736
## [24,] 0.775447113 0.8376438460 0.5105457067 -0.1338228327
## [25,] 0.410974980 0.7056174597 0.3236927933 -0.0983047154
## [26,] -0.507827005 0.4543022412 0.0135374770 -0.0810125188
## [27,] 1.525172980 0.3179618635 -0.6575552351 0.0560433902
## [28,] -2.009683010 0.3025303719 0.0035222862 0.3912049809
## [29,] 2.415256278 0.7991045643 0.1058810951 0.1186320774
## [30,] -0.777763717 0.1696083634 -0.4906300199 -0.0370124895
## [31,] 2.848230035 -1.6564358066 1.1668468777 0.2246353601
## [32,] -0.641013427 -2.7867310927 -0.3417486462 -0.3284125213
## [33,] -0.300560723 0.3117621795 -0.3071772993 -0.0288213652
## [34,] -2.174952795 0.4117111280 0.2471775407 0.5061702472
## [35,] -1.519177173 -2.2542318748 0.8606070875 0.2441480838
## [36,] 2.827024440 0.7296306943 -0.1149545366 0.2914726586
## [37,] -1.194294975 -0.0682028508 -0.8724635335 -0.0740242687
## [38,] 0.756572527 0.5250342636 -0.0992482896 -0.0213891894
## [39,] 0.995843188 0.0282164677 -1.1156929653 -0.1195278411
## [40,] -0.372576730 -0.2687303412 -1.4222942619 -0.2876389053
## [41,] -1.361697679 0.2221115384 -0.2755626470 0.1014410539
## [42,] 1.595061949 0.9430453465 0.5533983805 -0.0736439939
## [43,] -1.686527850 0.6235121074 0.5699017654 0.2630821071
## [44,] 1.605413825 0.7377433815 0.1493460653 -0.0429488503
## [45,] -0.714410979 -0.0113787300 -0.8552542721 -0.1177632548
## [46,] 1.086026186 0.4712426940 -0.2680799863 -0.0881353262
## [47,] -1.658263057 0.1090959181 -0.4392579796 0.1648477748
## [48,] -1.134762350 -0.2330839393 -1.2040775207 -0.1910210350
## [49,] 1.167167537 0.5738663650 -0.0853678670 0.0005600547
## [50,] 1.311538924 0.9603726853 0.6458001905 -0.1921306285
## [51,] 1.264868979 -2.0625593971 0.6907915360 -0.0149786634
## [52,] -0.168370241 -0.2188635628 -1.3651104889 -0.2895317085
## [53,] -0.085154857 -2.1475877081 0.7917325457 -0.0363147592
## [54,] -0.614912060 -2.5298658743 0.1513254615 -0.1432407568
## [55,] 1.580551201 -1.6543390313 1.4266039081 -0.0209865789
## [56,] 0.176758767 -2.5201212919 0.0148139888 -0.1829799378
## [57,] 2.346069747 0.5803719891 -0.3096712143 0.1944602172
## [58,] 3.020282165 -1.8392739689 0.7738886278 0.2966004227
## [59,] -1.093507929 0.8111109188 0.8255104785 -0.0206660269
## [60,] 3.124480162 0.6710979411 -0.2903972792 0.3974064804
## [61,] 1.531689184 0.3036294823 -0.6862831312 0.0287731236
## [62,] 1.870638938 0.6140627227 -0.1478439577 0.0985073036
## [63,] 0.648254123 1.1866591365 1.2240615826 -0.4203028134
## [64,] -0.961557792 0.2894863205 -0.2211229268 0.0176449277
## [65,] -0.545892972 -0.2663085838 -1.3834428268 -0.2818011253
## [66,] -1.169962034 -0.1577506121 -1.0513963954 -0.1181469042
## [67,] 0.875427786 0.4968895086 -0.1769417601 -0.0595475609
## [68,] 0.182493361 0.2447198211 -0.5327578437 -0.0720772747
## [69,] -0.796456606 1.0666790373 1.2727579581 -0.3180565883
## [70,] -0.750675757 -0.0930231842 -1.0075922102 -0.1228832013
## [71,] -1.698149465 0.0967246467 -0.4557678685 0.1744954540
## [72,] -0.700659398 1.0956912830 1.3104807748 -0.3148137478
## [73,] 3.032428488 -1.8980463204 0.6562547371 0.3124827647
## [74,] -0.313836135 1.1931437520 1.4280892831 -0.4804957131
## [75,] -1.364614999 -0.0421342756 -0.7891642665 -0.0121639001
## [76,] 2.554954116 -2.0261799036 0.5025524213 0.1964623697
## [77,] 0.197136523 0.6995581852 0.3535888524 -0.0745083433
## [78,] -1.322542296 0.1413066356 -0.4410049403 0.0890350495
## [79,] 0.217664019 -2.1274182062 0.7726062771 -0.0961275654
## [80,] -0.734366957 0.9524571386 1.0342366316 -0.1787310509
## [81,] -1.197382016 -0.2340930443 -1.1940432895 -0.1738493029
## [82,] -1.296764834 0.2274303565 -0.2778753067 0.0958974213
## [83,] -1.008206279 -0.0953456690 -0.9611949560 -0.1256688903
## [84,] 1.361647046 0.1888972503 -0.8759652645 -0.0193031968
## [85,] -0.806959336 1.0558336138 1.2528522851 -0.2813738779
## [86,] -0.448546799 -0.3174794868 -1.5019068907 -0.3197269722
## [87,] -0.084717836 0.4703519543 -0.0392572419 -0.0536551817
## [88,] -0.797431545 1.0412029346 1.2214304455 -0.2372032057
## [89,] -0.891905672 1.0183499064 1.1951683772 -0.2254186136
## [90,] -1.031259395 0.6564413875 0.5098277540 0.0270728460
## [91,] 0.227101041 0.2038970410 -0.6216515858 -0.0591512269
## [92,] -1.032457656 -2.5757692015 0.1430423631 -0.0944246254
## [93,] 1.987686410 0.7651075091 0.1239313568 0.1167016622
## [94,] 2.806811496 0.5133466217 -0.5333892179 0.2727432484
## [95,] 2.903210552 0.7271987352 -0.1359404036 0.3470841182
## [96,] -0.708173758 -0.0563325608 -0.9437915035 -0.1449897800
## [97,] 1.543929464 0.9763055519 0.6292716107 -0.1089530202
## [98,] -2.042972026 0.4566118480 0.3103904728 0.4350686525
## [99,] -0.686131807 1.0897963793 1.2961226931 -0.3165244945
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## [430,] 1.112469866 1.0009916308 0.7644927777 -0.1900446782
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## [446,] 2.403876406 0.4776093588 -0.5224646571 0.2169309421
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## [448,] -0.573228064 1.0521170270 1.2000464619 -0.3113763418
## [449,] -0.591232088 -0.2867533777 -1.4141775823 -0.2948348188
## [450,] 3.021994943 0.6830579553 -0.2455994728 0.3422993016
## [451,] -0.197906966 1.2223658500 1.4618922107 -0.4606247013
## [452,] -0.209341868 -2.1966241595 0.7204398777 -0.0380387927
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## [457,] 0.415018801 0.0679562601 -0.9241517468 -0.0772211680
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## [465,] 3.664449559 -1.7923804047 0.7339511122 0.5015545866
## [466,] 0.522505972 1.1772706394 1.2301852470 -0.4030795561
## [467,] 2.716104695 -1.8169864605 0.8787019765 0.2424903866
## [468,] 2.469786466 0.8141590330 0.1228861750 0.1965185902
## [469,] -0.955326849 0.9912891509 1.1542192917 -0.1982604541
## [470,] -1.114668310 0.2003831248 -0.3655677951 0.0412665286
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## [484,] 3.184114370 0.6663115833 -0.3123208028 0.4343994170
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## [486,] 2.252905439 0.8523075736 0.2421691834 0.1090109385
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## [488,] 2.340036838 0.8102988297 0.1433678740 0.0836645424
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## [490,] 2.512396435 0.5356958751 -0.4305530109 0.2266058228
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## [502,] 1.434933438 0.9733438419 0.6455342650 -0.1334176019
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## [513,] 2.166835286 0.4124569284 -0.6017499108 0.1578198741
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## [515,] 1.275796804 0.1447137337 -0.9447518034 -0.0489658882
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## [524,] 0.873523356 0.0944115336 -0.9632211678 -0.0675719682
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## [538,] 2.542959902 0.7175629035 -0.0814462170 0.2453008437
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## [553,] -1.443220224 0.6498755796 0.5768356227 0.0998656887
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## [565,] 1.673845329 0.9417095077 0.5354241958 -0.0831643143
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## [580,] -1.882222441 0.5721390745 0.5065403730 0.3380898602
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## [586,] 0.646164920 0.7186945199 0.3025968154 -0.0890576214
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## [588,] 2.864111448 0.7448577721 -0.0938772496 0.3557554938
## [589,] 2.481246350 0.7971493956 0.0865134335 0.2368451888
## [590,] 3.258766168 0.6318159490 -0.3941178360 0.4160761643
## [591,] -0.739914165 0.9742884937 1.0785348542 -0.2033806311
## [592,] 1.830504634 0.7213294677 0.0697458803 0.1004284995
## [593,] 0.225588535 0.1738268073 -0.6786662511 -0.1285483559
## [594,] -1.755167541 0.1343920076 -0.3717068057 0.2141584709
## [595,] -1.050844002 0.1244773357 -0.5254829700 -0.0099394510
## [596,] -1.011641489 0.2576882687 -0.2739673362 0.0447623361
## [597,] -1.307500380 -0.0385909949 -0.7931849131 -0.0280062689
## [598,] 1.431220027 0.4614239571 -0.3579188942 0.0271557634
## [599,] -0.310959295 1.2726927788 1.5835961660 -0.5069150169
## [600,] -0.618218890 0.0522521294 -0.7501250237 -0.1054076855
## [601,] -2.148285852 0.4281730361 0.2743243504 0.4951917175
## [602,] 1.582172879 0.8367979518 0.3476514870 -0.0460946531
## [603,] 1.697947741 0.2097854109 -0.9023847965 0.0190778336
## [604,] 1.019238499 -0.0296192361 -1.2339546952 -0.0924963473
## [605,] 2.277235189 0.8272401224 0.1891486453 0.0716913492
## [606,] 0.541065110 0.3373005640 -0.4228132369 -0.0623694426
## [607,] 0.088344264 0.8343382509 0.6413331292 -0.2046892586
## [608,] 3.369738816 0.6124384117 -0.4548809847 0.4611739286
## [609,] 2.861716043 -1.8287198570 0.8265609058 0.2630114464
## [610,] -1.768292598 0.4149956299 0.1780079596 0.2822821784
## [611,] -1.079432495 0.0479054609 -0.6697955195 0.0026014287
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## [613,] 1.900456036 -2.2222074274 0.2514583020 0.0632679446
## [614,] 0.724000688 0.6281323774 0.1102487099 -0.0925537933
## [615,] -1.214170222 0.2991419913 -0.1529405607 0.0459653493
## [616,] -1.885499395 0.4513362250 0.2709758768 0.3403470408
## [617,] 2.900554160 -1.7819984831 0.9087960118 0.3304108207
## [618,] 1.600556406 0.5787728150 -0.1616169279 0.0108979220
## [619,] -0.945466070 -0.1315356478 -1.0436667744 -0.1573909752
## [620,] -1.396189849 -2.0105968858 1.3120994846 0.2679512518
## [621,] 2.039311129 0.6282299871 -0.1540661748 0.1265587455
## [622,] 0.730658097 0.3292327082 -0.4759236650 -0.0679504223
## [623,] -1.638517480 0.6723280793 0.6571204828 0.2031879319
## [624,] -2.007603845 0.4942780724 0.3775823180 0.4094506014
## [625,] 0.275487690 -0.0098006453 -1.0469171901 -0.1563791411
## [626,] -0.070682533 0.0668872982 -0.8293596549 -0.1208291101
## [627,] 2.883492436 -1.8076460256 0.8635513765 0.2585665528
## [628,] 3.459590282 -1.7631369929 0.8336737304 0.4035000740
## [629,] 1.603114530 -1.9556835434 0.8308775158 0.0805359074
## [630,] 1.843248199 -2.2523018254 0.2048701277 0.0188314321
## [631,] 0.124450836 0.6978439314 0.3659173970 -0.1367127807
## [632,] 2.464690667 0.8114438502 0.1188022352 0.1862734946
## [633,] -1.922404657 0.5298074069 0.4314852843 0.3492667075
## [634,] -0.088247863 0.6174510895 0.2493897309 -0.0714485531
## [635,] 2.681607106 0.5691796817 -0.4000571567 0.2988891466
## [636,] 0.688451585 0.0479932180 -1.0164564209 -0.1122086828
## [637,] 1.588390422 0.9008362273 0.4713860351 -0.0353028724
## [638,] 2.358637105 -1.9751545714 0.6419766979 0.1546515517
## [639,] -0.672257476 -0.1535209188 -1.1397794143 -0.1971437234
## [640,] -0.101957181 1.2641317404 1.5268592720 -0.5677429452
## [641,] 0.082126335 0.6485098439 0.2764906041 -0.0734315177
## [642,] -1.028806835 -0.3454574155 -1.4425716491 -0.2911138745
## [643,] 1.524682283 -1.9641862252 0.8314947243 -0.0016717424
## [644,] -1.665774215 0.5480510351 0.4185980847 0.2480289767
## [645,] 0.250225114 -2.4790261952 0.0803688095 -0.1702560569
## [646,] -1.753514843 0.1333002000 -0.3741433582 0.2130088182
## [647,] 0.733360701 0.6274734379 0.1069836842 -0.0865381702
## [648,] -0.744266292 -2.7218045559 -0.1957872462 -0.2640351449
## [649,] -0.105608419 -2.1664830361 0.7586122782 -0.0258688176
## [650,] -1.269632476 -0.0956317315 -0.9115574955 -0.0572615668
## [651,] -1.275885164 -0.1822321851 -1.0783070437 -0.1192408014
## [652,] -1.218584626 0.8670253718 0.9604492332 -0.0639341788
## [653,] -1.604284883 0.5814714629 0.4720886173 0.2337412753
## [654,] -1.741017171 -1.8806422082 1.6309401747 0.4253599029
## [655,] -0.509481193 -0.2610660198 -1.3797806589 -0.3104007714
## [656,] 2.232972153 0.7543464360 0.0537344779 0.1496974528
## [657,] 0.812972782 0.4706296311 -0.2165710240 -0.0297982459
## [658,] -2.153321210 0.4287836828 0.2765692771 0.4925363620
## [659,] -1.156729662 0.8912095581 0.9962492396 -0.0988715058
## [660,] -2.018932848 0.4082192097 0.2114759164 0.4143276257
## [661,] -1.445108950 0.2673032317 -0.1714902402 0.1369894646
## [662,] -2.177431842 0.4133488394 0.2508323695 0.5078947262
## [663,] 1.367403811 0.8592609603 0.4350925529 -0.0977733814
## [664,] -0.579147415 1.1716749926 1.4366894521 -0.3935357362
## [665,] -1.180627555 -0.1519698011 -1.0380846180 -0.1135962329
## [666,] -1.313089719 -0.1124916092 -0.9358602014 -0.0606566696
## [667,] -0.505065310 0.9654233043 1.0156716335 -0.2441607788
## [668,] -1.643976554 0.1775991819 -0.3087408866 0.1922377337
## [669,] 1.169102046 1.0337211608 0.8177081552 -0.2097959811
## [670,] -0.701617260 1.1122044242 1.3436531849 -0.3478401265
## [671,] -0.523295116 1.0619366735 1.2095349510 -0.3187492060
## [672,] -1.268448023 -0.1871453191 -1.0892715301 -0.1244142384
## [673,] -1.484346965 0.6446257899 0.5741714432 0.1246660278
## [674,] 0.430135923 -1.5517783514 1.8572033882 -0.1538286827
## [675,] 3.077450325 -1.8657046214 0.7097431120 0.3522378759
## [676,] -0.691618253 1.0045053521 1.1287478095 -0.2355177432
## [677,] -1.904570742 0.2671231959 -0.0850704256 0.3255529069
## [678,] -0.619702252 -0.5127103294 -1.8463272616 -0.4815243489
## [679,] 0.906755103 0.4494703300 -0.2770429071 -0.0025327888
## [680,] -1.186639480 -0.2411897934 -1.2098808811 -0.1813220452
## [681,] 1.390674210 0.7687721536 0.2516354903 -0.0054802042
## [682,] -1.360962414 -0.0402878268 -0.7864271725 -0.0050465637
## [683,] 1.516842469 -2.2339028159 0.3055597089 0.0077711199
## [684,] -1.333729588 -0.1440189205 -0.9930277046 -0.0790029582
## [685,] -1.684101533 0.0874442824 -0.4764785651 0.1647234063
## [686,] -0.604423912 1.0442991624 1.1903543312 -0.2844312734
## [687,] -1.418194032 -2.2835919274 0.7844313479 0.1888948386
## [688,] -0.389125464 1.0112963117 1.0827018384 -0.2562266775
## [689,] 1.183898927 0.5184632244 -0.1960822022 -0.0419403422
## [690,] -2.170821051 0.4089816091 0.2410861593 0.5032961156
## [691,] 0.074205758 0.2817288957 -0.4389502877 -0.0750416327
## [692,] -0.834537702 1.0279002426 1.2025478794 -0.2274368430
## [693,] -1.165519115 -0.1544648505 -1.0460843523 -0.1071318536
## [694,] -1.342602374 -1.6983571966 1.9137392396 0.1825298350
## [695,] -2.167515655 0.4067979940 0.2362130542 0.5009968103
## [696,] 2.317047742 0.8528065875 0.2293566606 0.1616052911
## [697,] -1.600302648 0.1147498462 -0.4394354471 0.1544698503
## [698,] 1.321749700 -1.9467372493 0.9053559759 0.0144780602
## [699,] 1.579207336 0.9953192003 0.6594364020 -0.1072367869
## [700,] 1.210790517 0.9292660418 0.6036672542 -0.1343938736
## [701,] 0.439287844 0.2662407856 -0.5409097678 -0.0960510437
## [702,] 0.234990959 0.1578514027 -0.7126253697 -0.0875274048
## [703,] -2.142619673 0.4210176552 0.2594642744 0.4835131502
## [704,] -1.580489627 0.1388616329 -0.3962307580 0.1553381962
## [705,] -0.082916959 0.1422332785 -0.6801035426 -0.0992017910
## [706,] 0.997861324 0.9387218314 0.6659107778 -0.2140900186
## [707,] 0.881378370 -2.4578046481 -0.0042496765 -0.1036552435
## [708,] 0.006018899 0.2526633607 -0.4826995236 -0.0562528850
## [709,] 0.069042241 0.1979371552 -0.6005777808 -0.1297783035
## [710,] -2.185695331 0.4188078772 0.2630151322 0.5136429896
## [711,] -0.274007379 0.0530352650 -0.8165792443 -0.1062673391
## [712,] -0.370339377 1.1417296028 1.3362598121 -0.3636058185
## [713,] -0.479711592 -0.0986783197 -1.0706053234 -0.1971095322
## [714,] 0.015368512 1.3182264624 1.6107485063 -0.6297554425
## [715,] 1.191172140 0.3964440509 -0.4377088509 0.0357245498
## [716,] 1.230004587 1.0457646056 0.8290831544 -0.2033252725
## [717,] 0.358314608 0.1934961176 -0.6666833808 -0.1168615425
## [718,] -0.752482592 0.4477768830 0.0476788331 -0.0132972179
## [719,] 2.179619376 -1.5672928219 1.4758666604 0.0994265889
## [720,] -2.147970441 0.4249006690 0.2680167757 0.4880247561
## [721,] -0.430995578 1.2162221541 1.4957581127 -0.4524645966
## [722,] -0.934586341 -0.2562325912 -1.2882156388 -0.2223063940
## [723,] -1.685949334 0.1662580307 -0.3228387904 0.2025472441
## [724,] 0.894142747 -2.2652004934 0.3691505784 -0.0748946393
## [725,] -1.680623950 -1.8839304789 1.6131892857 0.3966576355
## [726,] -1.429088383 0.6339094568 0.5418793347 0.1447022075
## [727,] -1.001909455 -0.1887858413 -1.1436797314 -0.1930882774
## [728,] 0.679910616 -2.2865750335 0.3699273006 -0.0861411573
## [729,] 1.543088643 0.8225504448 0.3273917753 -0.0400576963
## [730,] 1.049696523 0.3921795666 -0.4169607059 -0.0177531697
## [731,] -2.060438882 0.4634155536 0.3271122236 0.4364818479
## [732,] -0.186597645 0.1852052282 -0.5759142990 -0.0849492207
## [733,] 2.048719231 0.8955791003 0.3684967892 0.0433048950
## [734,] 0.247858324 0.0713168642 -0.8833521309 -0.1340167184
## [735,] -0.503075603 0.5360450217 0.1713463585 -0.0312524707
## [736,] 0.907073946 -0.0762188964 -1.3017017490 -0.1487501722
## [737,] 2.751283546 0.6855582725 -0.1856985633 0.2701728350
## [738,] 0.922089225 -1.9760377019 0.9278518384 -0.0241116165
## [739,] 2.745337154 -1.5754721202 1.3447902545 0.2559643959
## [740,] 0.426971904 0.6175377408 0.1493480543 -0.1457867757
## [741,] -1.140048192 -0.2311820295 -1.1993166068 -0.1909494481
## [742,] -0.411986845 -0.2929758992 -1.4615487622 -0.3045337759
## [743,] -0.302329766 1.1874193162 1.4132256794 -0.4145428661
## [744,] -1.643972230 0.2081815628 -0.2489471107 0.1918850386
## [745,] 3.428094186 -1.7563385144 0.8533959977 0.3936454341
## [746,] 3.586307177 -1.7888998191 0.7573563345 0.4467513047
## [747,] -0.944158278 -2.5491503654 0.1778102546 -0.1026244725
## [748,] -0.878537118 1.0482427045 1.2522583356 -0.2863135505
## [749,] 2.047305030 0.6652564041 -0.0836990854 0.1472279869
## [750,] -0.518047766 0.4062174657 -0.0803960985 0.0108591034
## [751,] 1.983285330 0.8529727801 0.2983366483 0.0335989639
## [752,] -1.064460315 -0.0529255034 -0.8682349912 -0.0746159835
## [753,] -0.963854549 -0.3374820463 -1.4398228535 -0.2906182365
## [754,] 0.298740306 -2.5252009458 -0.0180899107 -0.2360314581
## [755,] -0.345996608 1.2863486833 1.6186332586 -0.5737628477
## [756,] -2.124387321 0.4422508166 0.2975190655 0.4765860679
## [757,] -0.428057904 -0.0806525520 -1.0458382932 -0.1844946018
## [758,] 2.472954157 0.8059848124 0.1066194725 0.1805252313
## [759,] -2.165036608 0.4051602827 0.2325582254 0.4992723313
## [760,] -0.029688187 -0.0029776516 -0.9728568960 -0.1766546209
## [761,] -1.261342692 -0.1044042613 -0.9300642112 -0.0705020059
## [762,] 1.569625251 0.9893120871 0.6500379624 -0.1285457153
## [763,] -0.354307039 1.2731613139 1.5937914242 -0.5406315179
## [764,] -1.594732604 0.3807631152 0.0784460847 0.2045097546
## [765,] -0.287494106 0.0983480240 -0.7243230568 -0.1537444560
## [766,] -1.801751759 0.5837119553 0.5142979145 0.2894924882
## [767,] 0.501000967 0.4492214140 -0.1963638048 -0.0498388712
## [768,] -0.752287842 0.1719052450 -0.4917170020 -0.0113644777
## [769,] -1.880369068 0.5438112780 0.4506471001 0.3450452499
## [770,] -0.256461578 -0.1550976312 -1.2246156388 -0.2156215353
## [771,] -2.179910889 0.4149865507 0.2544871983 0.5096192052
## [772,] -0.842846817 -0.2729751119 -1.3383481659 -0.2563660230
## [773,] 0.653585961 0.1101683639 -0.8874586815 -0.1386034802
## [774,] 3.236907612 0.6452928753 -0.3637288991 0.4290971829
## [775,] -1.782117234 0.2195868746 -0.2005127124 0.2463115318
## [776,] -1.101132029 -0.2462133028 -1.2363297703 -0.1938092032
## [777,] 2.328374615 0.4429224276 -0.5738844398 0.1474032978
## [778,] -1.723759091 0.1515283635 -0.3442913921 0.2085134569
## [779,] 1.766798933 0.9217592201 0.4774355433 -0.0538223436
## [780,] -1.626503007 0.2007147476 -0.2669338159 0.1889701559
## [781,] -0.590954027 0.4217214443 -0.0351877482 -0.0124803322
## [782,] -1.646089483 0.0623327085 -0.5325192736 0.1382813951
## [783,] 0.311061105 1.0744357382 1.0691161408 -0.3179951819
## [784,] 1.953432764 -2.1986226649 0.2880204495 0.0198482236
## [785,] 1.157955043 1.0840108551 0.9189525063 -0.2441107897
## [786,] -0.189852042 0.4632954375 -0.0316314372 -0.0843062233
## [787,] -0.182131386 0.1380091505 -0.6683471199 -0.1186808761
## [788,] 1.658299685 0.9647724373 0.5842163662 -0.1130433018
## [789,] 0.844790437 0.8668738805 0.5543604557 -0.1513107229
## [790,] 1.718097422 0.8396726159 0.3269232479 -0.0699231335
## [791,] -1.984661766 0.5088832504 0.4019879391 0.3912734316
## [792,] 0.017621739 0.4025784924 -0.1919301933 -0.0555195966
## [793,] -1.577856377 0.2143321025 -0.2499276651 0.1891764723
## [794,] -1.402019743 -0.0528256539 -0.8030033935 0.0032839973
## [795,] 0.237963047 0.2194376944 -0.5928699404 -0.0848993476
## [796,] -1.514484261 0.6123477494 0.5161315444 0.1666985309
## [797,] -2.178258191 0.4138947432 0.2520506458 0.5084695526
## [798,] 2.222486439 0.5919214960 -0.2626077093 0.1911957956
## [799,] 2.097419072 -1.4979183454 1.6287497737 0.0513784138
## [800,] -0.398429662 -0.2903840332 -1.4595156664 -0.2877795344
## [801,] -0.995556301 0.8870605562 0.9567099166 -0.1183682895
## [802,] 0.428675364 0.6190437099 0.1503752716 -0.0713042397
## [803,] -0.867509713 -0.2200270682 -1.2306133233 -0.2257961353
## [804,] 1.936363311 0.9094523048 0.4190608681 -0.0153836574
## [805,] -0.919366763 0.2848725717 -0.2389742433 0.0410341867
## [806,] 3.050031277 0.6372242254 -0.3404923268 0.3305675558
## [807,] 1.213514445 0.1822957316 -0.8597238709 -0.0137200857
## [808,] -1.359346405 -0.1270959033 -0.9552611401 -0.0611833419
## [809,] 2.205777418 0.4658907919 -0.5052585676 0.1708220713
## [810,] 2.847600120 0.6594518806 -0.2561475903 0.2882541588
## [811,] -0.844588905 0.9173491609 0.9865066702 -0.1376680767
## [812,] -0.992189274 0.7532071641 0.6933554800 -0.0706712578
## [813,] -1.823130668 -1.9256843203 1.5582356836 0.4664494989
## [814,] 0.015231636 0.0931668542 -0.7947268842 -0.1317119758
## [815,] -1.034653249 -0.2924866378 -1.3388312167 -0.2453955409
## [816,] 2.040415272 0.4083436645 -0.5839441393 0.1167645009
## [817,] 0.422277993 -0.2392929241 -1.5219378020 -0.2801704929
## [818,] 2.222438148 0.7828295928 0.1132656344 0.0664286098
## [819,] 2.536566506 0.4998641083 -0.5070229305 0.3041523799
## [820,] 0.764170916 0.4403408043 -0.2668126413 0.0017697411
## [821,] 1.626584603 0.2826285120 -0.7466919579 0.0572906561
## [822,] -1.287315744 -0.0051380982 -0.7322479331 -0.0056590006
## [823,] -0.248379102 1.1818877416 1.3925796459 -0.4535007885
## [824,] -0.301176802 -0.1003577733 -1.1091611305 -0.1970771927
## [825,] -0.391736998 -2.7058426658 -0.2336039503 -0.2935048057
## [826,] -1.690154773 0.5312509038 0.3903157091 0.2600750127
## [827,] 1.888469307 0.6026665993 -0.1734007352 0.0869725543
## [828,] -0.611852042 0.6155715943 0.3492908063 -0.0776036313
## [829,] 1.991976537 0.2903418714 -0.8059552475 0.1588397365
## [830,] -0.980644345 0.8632440423 0.9066167596 -0.0907064609
## [831,] 1.775803697 0.9037369117 0.4396586320 -0.0177617544
## [832,] 0.718857287 0.2497411986 -0.6294059092 -0.0485606073
## [833,] -0.833687139 -2.5745070275 0.1072323590 -0.1411876764
## [834,] 2.260440877 -1.8017775193 0.9995667308 0.1901909750
## [835,] 1.337255339 0.8023705821 0.3286442865 -0.0418567368
## [836,] -1.774999915 0.1474936983 -0.3424681751 0.2279543028
## [837,] 0.399803256 0.3223881132 -0.4238938582 -0.0701186336
## [838,] -0.936380515 0.9873496770 1.1426417065 -0.1919920463
## [839,] 2.179479803 -1.9496163644 0.7276398861 0.1385179118
## [840,] 3.007587734 0.6876430897 -0.2337647485 0.3411367595
## [841,] -1.870374160 0.5632092709 0.4869701558 0.3273478706
## [842,] -1.620610449 0.4614663205 0.2408452781 0.2273380369
## [843,] -1.023022392 -0.3492787419 -1.4510995830 -0.2951376588
## [844,] -1.770685763 0.5954920279 0.5315732202 0.2714274578
## [845,] 1.904973786 0.7327121171 0.0784285267 0.0465846164
## [846,] -1.591395342 0.4257519598 0.1649955284 0.2394975009
## [847,] 2.562990804 0.7968981964 0.0699720805 0.2321600030
## [848,] 2.448714628 0.8098348109 0.1191622895 0.1698070877
## [849,] 3.439316005 0.6057491448 -0.4825666862 0.5018295425
## [850,] 1.325410808 0.5247232064 -0.2130330274 0.0160912213
## [851,] -2.064585965 0.3750610394 0.1550872316 0.4419157522
## [852,] -1.270831634 -0.0081009142 -0.7414348250 0.0008484596
## [853,] -0.237987106 1.3098001360 1.6431319218 -0.5733307816
## [854,] 2.361032923 0.5665144575 -0.3407851422 0.2447449196
## [855,] 2.329768106 0.8426739392 0.2073056695 0.1488355701
## [856,] -1.669227253 0.0776180144 -0.4984075380 0.1543765324
## [857,] 2.122174298 0.7178928761 0.0050411744 0.1175462271
## [858,] 1.525047644 1.0101725220 0.6993812932 -0.1170107675
## [859,] -1.485682414 0.7488498410 0.7791125252 0.0811161399
## [860,] 2.126009898 0.6413522184 -0.1446907270 0.0864714305
## [861,] -0.215244250 -2.2679155163 0.5828072098 -0.0650239194
## [862,] -0.830151303 -0.3721395774 -1.5331213440 -0.3316313062
## [863,] 0.114865431 -0.0540680727 -1.1012975681 -0.1765223549
## [864,] -1.039427478 -0.2001567792 -1.1587903641 -0.1792721530
## [865,] 0.189592082 1.0690363805 1.0834071178 -0.3579944511
## [866,] -2.054663910 0.4622466658 0.3236441072 0.4384648127
## [867,] 1.671397530 0.6340903128 -0.0683788776 0.0537645154
## [868,] -1.999511429 0.3731021012 0.1388666250 0.4199836450
## [869,] 2.731246468 0.7385640913 -0.0773672992 0.2348840688
## [870,] 1.969118266 0.4985090097 -0.3937557934 0.1246071431
## [871,] -0.337513664 1.2842380936 1.6127883704 -0.5717425031
## [872,] 0.535123171 0.9429095692 0.7657989874 -0.2273546168
## [873,] 1.452114263 0.2842226603 -0.7091709903 0.0603258912
## [874,] -1.865223934 0.2807446057 -0.0660609278 0.3183069556
## [875,] -0.025739745 -0.2781888926 -1.5088411669 -0.3096148870
## [876,] 0.496305932 0.7291602711 0.3532321710 -0.1158610197
## [877,] 1.054255883 0.8316512012 0.4422478896 -0.0631184354
## [878,] -0.411139432 0.5047346511 0.0933930243 -0.0981866131
## [879,] -0.214392747 -0.4181255755 -1.7425906049 -0.4297736850
## [880,] -1.238466984 -1.6361870113 2.0158575778 0.1282453932
## [881,] -0.888712772 -0.2038031161 -1.1951268988 -0.2060203744
## [882,] 2.972601376 0.5529783076 -0.4904362648 0.3562221762
## [883,] -0.319042954 0.9175777506 0.8845197895 -0.2033995207
## [884,] -2.177431842 0.4133488394 0.2508323695 0.5078947262
## [885,] -0.584445282 -2.5839786934 0.0401241403 -0.1717951582
## [886,] 0.945607898 -2.5262916568 -0.1486264625 -0.2074152378
## [887,] 0.730940347 0.2196145047 -0.6894456584 -0.1071777225
## [888,] 2.332972033 0.5665668901 -0.3331847860 0.1526488525
## [889,] 0.440689837 0.1474303782 -0.7736790271 -0.0855220156
## [890,] 1.744270485 0.3174712920 -0.7010693455 0.0216148380
## [891,] 0.513182458 -2.1509374044 0.6673023988 -0.0517576999
## [892,] -2.102234090 0.3636715954 0.1399692287 0.4555855301
## [893,] 1.657301836 0.7272110534 0.1181281041 -0.0251997308
## [894,] 0.457673081 0.0741500082 -0.9185364846 -0.1683565802
## [895,] 3.373432813 0.5830455387 -0.5132001642 0.4671910550
## [896,] 2.032276355 0.3639354795 -0.6698348771 0.1489419672
## [897,] -0.328255504 -0.2670068359 -1.4270396475 -0.3178720101
## [898,] 1.561043715 0.4167998751 -0.4723473183 0.0998332100
## [899,] -2.161418582 0.4322760103 0.2849661847 0.4939584313
## [900,] -0.463411359 -0.3063249432 -1.4774471902 -0.3063604629
## [901,] -0.150461184 -0.1279512821 -1.1926402596 -0.2084233246
## [902,] 2.213129897 0.4170516907 -0.6029226110 0.2053816336
## [903,] 1.876172251 0.7937595000 0.2039745280 0.0224979983
## [904,] -0.187329921 -2.7230819049 -0.3073816726 -0.3079960149
## [905,] -1.456756243 0.0615890460 -0.5701289830 0.0793984076
## [906,] -0.681542804 0.1933733068 -0.4630039086 -0.0453278472
## [907,] -1.976012455 0.5087866646 0.3999477410 0.3979939668
## [908,] 3.200311644 0.6227745042 -0.4002938024 0.4183765271
## [909,] -0.680013377 -2.4169255009 0.3836127106 -0.0787852819
## [910,] -0.130524791 -2.5063001911 0.1026708573 -0.1890784008
## [911,] 3.100243750 0.6862269724 -0.2563477811 0.4122658031
## [912,] -1.855501748 0.5620075408 0.4814872277 0.3365554530
## [913,] 0.037563168 1.3240372908 1.6170661759 -0.5987722294
## [914,] -1.051463681 -2.5632134146 0.1710627174 -0.0812036198
## [915,] -0.066445476 -2.2419160623 0.6048905810 -0.0957891988
## [916,] 1.562581534 1.0055597726 0.6825312407 -0.0973557726
## [917,] 0.005022434 0.1528149650 -0.6773176279 -0.0743532975
## [918,] 0.291831878 -0.1696096431 -1.3610707347 -0.2268250721
## [919,] -0.337506198 1.1724007756 1.3906571657 -0.4071188898
## [920,] -1.852374807 0.5571447559 0.4715436592 0.3280380091
## [921,] -0.598952410 0.0437140690 -0.7705400923 -0.1093096137
## [922,] 1.581207693 0.7362905590 0.1517700662 -0.0656642316
## [923,] 0.064352107 -2.3162567041 0.4335883448 -0.0897120376
## [924,] 0.131277009 0.2852660077 -0.4429733910 -0.0909327836
## [925,] -0.872901977 -2.5967344690 0.0717841867 -0.1533498350
## [926,] -0.642461298 -0.0668255623 -0.9764221225 -0.1857608718
## [927,] 2.737072439 0.6283443228 -0.2947048805 0.2684416459
## [928,] 0.289252548 0.1543543944 -0.7294585240 -0.1216225295
## [929,] -0.597043994 0.0479662073 -0.7628414505 -0.0981368143
## [930,] 0.295272782 0.2608884059 -0.5231700293 -0.0843319404
## [931,] -0.201092547 1.3683767765 1.7528268987 -0.6897123799
## [932,] -0.720861909 -2.6347547266 -0.0318613290 -0.1872757597
## [933,] -1.586777085 0.4204378584 0.1538713537 0.2311532238
## [934,] -0.757831523 -2.6221003553 0.0002017514 -0.1882438176
## [935,] -0.985695182 -0.1532439167 -1.0779073164 -0.1691896969
## [936,] 2.761538392 0.5467136091 -0.4600486051 0.3120785224
## [937,] -1.774157026 0.6036230675 0.5478227255 0.2870793416
## [938,] -1.489469632 0.7130220136 0.7086493709 0.1362408515
## [939,] -1.635417436 0.4686483749 0.2577177091 0.2317432045
## [940,] -0.109841490 0.1290519626 -0.7009395019 -0.0809912570
## [941,] 1.594222937 1.0107239990 0.6855887980 -0.0602593721
## [942,] 2.020968881 0.3909184929 -0.6144771740 0.1313520674
## [943,] -1.192758099 -0.1490511654 -1.0299161874 -0.1167109041
## [944,] -2.085159026 0.4485574577 0.3026058761 0.4526589492
## [945,] 0.759792476 -2.2518652834 0.4219295832 -0.0827485991
## [946,] 1.097492431 -2.2779460145 0.3041685749 -0.0800448092
## [947,] -1.182006938 0.8669207342 0.9524006320 -0.0348243195
## [948,] -1.489737082 -2.2367120583 0.8891760831 0.2377932994
## [949,] -0.966949186 -0.0860966589 -0.9509328610 -0.1412964984
## [950,] -0.773495578 0.3443545937 -0.1509377449 0.0141399834
## [951,] -0.956566434 0.2017682424 -0.3938953196 0.0318539189
## [952,] 0.138955666 -0.0566124143 -1.1113186655 -0.1629634439
## [953,] -1.770041822 0.1442182756 -0.3497778328 0.2245053448
## [954,] 0.023024650 1.3093005709 1.5906064351 -0.5741509567
## [955,] -1.448095094 0.0581769120 -0.5784939530 0.0786105063
## [956,] -0.048176408 0.1219639271 -0.7262088718 -0.1172889656
## [957,] 0.382809605 0.1910093508 -0.6766815486 -0.1028473314
## [958,] -1.582744705 -2.0021601059 1.3637825614 0.3465073791
## [959,] -1.705751462 0.6240949082 0.5751382004 0.2489800484
## [960,] -0.959129446 -2.3167671729 0.6315356869 0.0637824387
## [961,] 1.347199679 -1.7037073726 1.3766247038 -0.0413473129
## [962,] -1.753514843 0.1333002000 -0.3741433582 0.2130088182
## [963,] -0.238289481 -2.7370282588 -0.3245188498 -0.3108040463
## [964,] -2.027096882 0.5014570136 0.3954543752 0.4100889834
## [965,] -2.107152008 0.4314334969 0.2731936668 0.4658863165
## [966,] 1.946124762 0.8941914159 0.3863871768 0.0275454990
## [967,] -0.876649752 -0.4000471895 -1.5778377486 -0.3625169388
## [968,] -1.012279856 -0.3563754911 -1.4669371745 -0.3026104011
## [969,] 1.476775848 0.4027597603 -0.4825157740 0.0700885545
## [970,] 1.098309169 0.7482257604 0.2707576173 -0.0775367534
## [971,] -0.401736841 -1.4954627179 2.1312659205 -0.1359564325
## [972,] 1.358726322 0.7169966215 0.1568054559 -0.0091105262
## [973,] 3.017669951 0.6392555055 -0.3296746939 0.3092092010
## [974,] -1.353561963 -0.1309172298 -0.9637890741 -0.0652071262
## [975,] -0.802218360 -0.0299662256 -0.8748132303 -0.0909577743
## [976,] 2.652503815 -1.8666299566 0.7947297018 0.2182984851
## [977,] -0.288206298 0.5369433560 0.1313879884 -0.0659240909
## [978,] -1.640015899 0.6747687248 0.6620959522 0.2075198270
## [979,] -1.068402284 0.9417796786 1.0781613633 -0.1224409210
## [980,] -0.320950109 0.6639010798 0.3864184318 -0.0831255163
## [981,] -1.077561421 -0.3132490924 -1.3706933490 -0.2571991210
## [982,] -0.020574489 1.3350075411 1.6504602748 -0.6205426048
## [983,] 0.538608819 -2.1313347287 0.7007043727 -0.0566099542
## [984,] -1.390649128 0.3129926870 -0.0930961556 0.1448815820
## [985,] -2.182389936 0.4166242621 0.2581420271 0.5113436842
## [986,] -1.450317558 0.7718565412 0.8168727751 0.0919563219
## [987,] -1.242685039 0.8608802324 0.9524241437 -0.0275034102
## [988,] 1.352736248 0.6303702934 -0.0115286752 -0.0012366713
## [989,] -0.403532037 1.1416522918 1.3432350849 -0.3904123568
## [990,] -1.459926614 0.6427918515 0.5654341352 0.1401006226
## [991,] -1.814797974 0.4688174039 0.2920959682 0.2973085046
## [992,] -1.833118709 0.5752063061 0.5033310024 0.3147407406
## [993,] 0.494162723 0.2455181767 -0.5921999404 -0.0990117343
## [994,] 0.077984841 0.3799827611 -0.2479698150 -0.0583242240
## [995,] -0.544750016 -2.7384125860 -0.2673118528 -0.2810191025
## [996,] -0.124208071 1.3607365835 1.7217598857 -0.6453501650
## [997,] -1.306221341 -0.1201394316 -0.9519172619 -0.0724872845
## [998,] -0.632786400 -0.3099770403 -1.4510233731 -0.3111329011
## [999,] 0.098675866 -2.1823496189 0.6889572366 -0.1070471347
plot(telecom_pca$x,xlim=xlim,ylim=xlim)
telecom_pca$rotation[,1]
## SeniorCitizen tenure MonthlyCharges TotalCharges
## 0.08960417 0.56498847 0.48563207 0.66099970
telecom_pca$rotation
## PC1 PC2 PC3 PC4
## SeniorCitizen 0.08960417 -0.88666415 0.45354733 0.009623196
## tenure 0.56498847 0.31234448 0.51103948 -0.567509999
## MonthlyCharges 0.48563207 -0.32776108 -0.72919909 -0.353557414
## TotalCharges 0.66099970 0.09402283 0.03744529 0.743530060
plot(telecom[,-1])
telecom_pca$x
## PC1 PC2 PC3 PC4
## [1,] -2.015467453 0.3063516984 0.0120502201 0.3952287653
## [2,] -0.286167867 0.5013439720 0.0615892254 -0.0753083935
## [3,] -1.580345244 0.0591421382 -0.5512321189 0.1140939064
## [4,] -0.287614123 0.7983943370 0.6445959152 -0.1696250516
## [5,] -1.294160708 -0.1237314581 -0.9613547414 -0.0709556042
## [6,] -0.494044929 -0.3379468993 -1.5326506543 -0.3329395336
## [7,] -0.020111087 0.0003749667 -0.9685190929 -0.1613687025
## [8,] -1.733455753 0.4319562059 0.2043525014 0.2789892675
## [9,] 0.688536938 -0.0510378498 -1.2097481522 -0.1275878542
## [10,] 0.800699638 0.9284002528 0.6841006823 -0.1865781716
## [11,] -1.254566657 0.2600970846 -0.2216823424 0.0644229830
## [12,] -1.764971394 0.6268866250 0.5916904672 0.2774977466
## [13,] 2.061385552 0.4838318990 -0.4400631575 0.0956542225
## [14,] 1.724378831 0.3072806955 -0.7177116306 0.0522494039
## [15,] 0.527494462 -0.1112877649 -1.2945144595 -0.1843081668
## [16,] 3.161504599 0.5720136417 -0.4917171390 0.4115436863
## [17,] -0.716173101 1.0901673293 1.3032764892 -0.3397861962
## [18,] 2.952410314 0.6478858084 -0.2992142283 0.2764189167
## [19,] -1.254731788 0.1623572800 -0.4124580865 0.0517707540
## [20,] -0.052469384 -0.0261847489 -1.0136995538 -0.1778530396
## [21,] -1.611728253 -2.1930906514 0.9970540300 0.3085286329
## [22,] -1.878281489 0.5620845058 0.4865222098 0.3184532575
## [23,] -2.175779144 0.4122570318 0.2483958170 0.5067450736
## [24,] 0.775447113 0.8376438460 0.5105457067 -0.1338228327
## [25,] 0.410974980 0.7056174597 0.3236927933 -0.0983047154
## [26,] -0.507827005 0.4543022412 0.0135374770 -0.0810125188
## [27,] 1.525172980 0.3179618635 -0.6575552351 0.0560433902
## [28,] -2.009683010 0.3025303719 0.0035222862 0.3912049809
## [29,] 2.415256278 0.7991045643 0.1058810951 0.1186320774
## [30,] -0.777763717 0.1696083634 -0.4906300199 -0.0370124895
## [31,] 2.848230035 -1.6564358066 1.1668468777 0.2246353601
## [32,] -0.641013427 -2.7867310927 -0.3417486462 -0.3284125213
## [33,] -0.300560723 0.3117621795 -0.3071772993 -0.0288213652
## [34,] -2.174952795 0.4117111280 0.2471775407 0.5061702472
## [35,] -1.519177173 -2.2542318748 0.8606070875 0.2441480838
## [36,] 2.827024440 0.7296306943 -0.1149545366 0.2914726586
## [37,] -1.194294975 -0.0682028508 -0.8724635335 -0.0740242687
## [38,] 0.756572527 0.5250342636 -0.0992482896 -0.0213891894
## [39,] 0.995843188 0.0282164677 -1.1156929653 -0.1195278411
## [40,] -0.372576730 -0.2687303412 -1.4222942619 -0.2876389053
## [41,] -1.361697679 0.2221115384 -0.2755626470 0.1014410539
## [42,] 1.595061949 0.9430453465 0.5533983805 -0.0736439939
## [43,] -1.686527850 0.6235121074 0.5699017654 0.2630821071
## [44,] 1.605413825 0.7377433815 0.1493460653 -0.0429488503
## [45,] -0.714410979 -0.0113787300 -0.8552542721 -0.1177632548
## [46,] 1.086026186 0.4712426940 -0.2680799863 -0.0881353262
## [47,] -1.658263057 0.1090959181 -0.4392579796 0.1648477748
## [48,] -1.134762350 -0.2330839393 -1.2040775207 -0.1910210350
## [49,] 1.167167537 0.5738663650 -0.0853678670 0.0005600547
## [50,] 1.311538924 0.9603726853 0.6458001905 -0.1921306285
## [51,] 1.264868979 -2.0625593971 0.6907915360 -0.0149786634
## [52,] -0.168370241 -0.2188635628 -1.3651104889 -0.2895317085
## [53,] -0.085154857 -2.1475877081 0.7917325457 -0.0363147592
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## [538,] 2.542959902 0.7175629035 -0.0814462170 0.2453008437
## [539,] 1.573912241 0.6952563537 0.0706530929 0.0445414502
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## [549,] -1.779151384 0.6049029925 0.5513350633 0.2859744556
## [550,] 3.202674133 0.6450675148 -0.3568125881 0.4011198728
## [551,] 3.362025767 0.5974089062 -0.4818847834 0.4209064894
## [552,] -0.631283339 1.1475463826 1.3989098473 -0.3506745807
## [553,] -1.443220224 0.6498755796 0.5768356227 0.0998656887
## [554,] 0.252550667 0.2487772204 -0.5385754710 -0.0763696748
## [555,] 0.961174074 0.7279292959 0.2585249782 -0.0941830860
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## [559,] -1.694017720 0.0939951278 -0.4618592498 0.1716213223
## [560,] 2.229702111 0.3975152459 -0.6437317244 0.1743794328
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## [562,] -1.091137141 -0.0348263727 -0.8279982987 -0.0549800251
## [563,] 2.122587928 0.5131676009 -0.3957788717 0.1415753188
## [564,] -1.199117557 0.0214663442 -0.6974857740 -0.0139726728
## [565,] 1.673845329 0.9417095077 0.5354241958 -0.0831643143
## [566,] -0.053270584 -0.2396443997 -1.4294351101 -0.2443047012
## [567,] 1.827997486 0.9284739694 0.4771071436 0.0105042169
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## [571,] 0.544662525 -1.7209054063 1.5027342681 -0.0969280354
## [572,] -1.025617080 0.0755901997 -0.6255953298 -0.0308487862
## [573,] 1.995752636 0.4564565383 -0.4811375369 0.1203244920
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## [575,] 1.546446407 0.6947299827 0.0770220702 -0.0483896148
## [576,] 0.657681147 0.0621928273 -0.9827770719 -0.1046992050
## [577,] -1.008960174 -0.0150494268 -0.8049630351 -0.0836058633
## [578,] 1.015632917 -2.2298798083 0.4133892419 -0.0367334917
## [579,] -2.155730345 0.4310947850 0.2814931548 0.4958438319
## [580,] -1.882222441 0.5721390745 0.5065403730 0.3380898602
## [581,] -1.264316279 -0.1898748380 -1.0953629115 -0.1272883700
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## [584,] -2.120650619 0.4407919984 0.2939354822 0.4762762714
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## [586,] 0.646164920 0.7186945199 0.3025968154 -0.0890576214
## [587,] -2.066710087 0.4658407485 0.3330824057 0.4369493931
## [588,] 2.864111448 0.7448577721 -0.0938772496 0.3557554938
## [589,] 2.481246350 0.7971493956 0.0865134335 0.2368451888
## [590,] 3.258766168 0.6318159490 -0.3941178360 0.4160761643
## [591,] -0.739914165 0.9742884937 1.0785348542 -0.2033806311
## [592,] 1.830504634 0.7213294677 0.0697458803 0.1004284995
## [593,] 0.225588535 0.1738268073 -0.6786662511 -0.1285483559
## [594,] -1.755167541 0.1343920076 -0.3717068057 0.2141584709
## [595,] -1.050844002 0.1244773357 -0.5254829700 -0.0099394510
## [596,] -1.011641489 0.2576882687 -0.2739673362 0.0447623361
## [597,] -1.307500380 -0.0385909949 -0.7931849131 -0.0280062689
## [598,] 1.431220027 0.4614239571 -0.3579188942 0.0271557634
## [599,] -0.310959295 1.2726927788 1.5835961660 -0.5069150169
## [600,] -0.618218890 0.0522521294 -0.7501250237 -0.1054076855
## [601,] -2.148285852 0.4281730361 0.2743243504 0.4951917175
## [602,] 1.582172879 0.8367979518 0.3476514870 -0.0460946531
## [603,] 1.697947741 0.2097854109 -0.9023847965 0.0190778336
## [604,] 1.019238499 -0.0296192361 -1.2339546952 -0.0924963473
## [605,] 2.277235189 0.8272401224 0.1891486453 0.0716913492
## [606,] 0.541065110 0.3373005640 -0.4228132369 -0.0623694426
## [607,] 0.088344264 0.8343382509 0.6413331292 -0.2046892586
## [608,] 3.369738816 0.6124384117 -0.4548809847 0.4611739286
## [609,] 2.861716043 -1.8287198570 0.8265609058 0.2630114464
## [610,] -1.768292598 0.4149956299 0.1780079596 0.2822821784
## [611,] -1.079432495 0.0479054609 -0.6697955195 0.0026014287
## [612,] -0.302328719 1.2812815617 1.5996005170 -0.5502166827
## [613,] 1.900456036 -2.2222074274 0.2514583020 0.0632679446
## [614,] 0.724000688 0.6281323774 0.1102487099 -0.0925537933
## [615,] -1.214170222 0.2991419913 -0.1529405607 0.0459653493
## [616,] -1.885499395 0.4513362250 0.2709758768 0.3403470408
## [617,] 2.900554160 -1.7819984831 0.9087960118 0.3304108207
## [618,] 1.600556406 0.5787728150 -0.1616169279 0.0108979220
## [619,] -0.945466070 -0.1315356478 -1.0436667744 -0.1573909752
## [620,] -1.396189849 -2.0105968858 1.3120994846 0.2679512518
## [621,] 2.039311129 0.6282299871 -0.1540661748 0.1265587455
## [622,] 0.730658097 0.3292327082 -0.4759236650 -0.0679504223
## [623,] -1.638517480 0.6723280793 0.6571204828 0.2031879319
## [624,] -2.007603845 0.4942780724 0.3775823180 0.4094506014
## [625,] 0.275487690 -0.0098006453 -1.0469171901 -0.1563791411
## [626,] -0.070682533 0.0668872982 -0.8293596549 -0.1208291101
## [627,] 2.883492436 -1.8076460256 0.8635513765 0.2585665528
## [628,] 3.459590282 -1.7631369929 0.8336737304 0.4035000740
## [629,] 1.603114530 -1.9556835434 0.8308775158 0.0805359074
## [630,] 1.843248199 -2.2523018254 0.2048701277 0.0188314321
## [631,] 0.124450836 0.6978439314 0.3659173970 -0.1367127807
## [632,] 2.464690667 0.8114438502 0.1188022352 0.1862734946
## [633,] -1.922404657 0.5298074069 0.4314852843 0.3492667075
## [634,] -0.088247863 0.6174510895 0.2493897309 -0.0714485531
## [635,] 2.681607106 0.5691796817 -0.4000571567 0.2988891466
## [636,] 0.688451585 0.0479932180 -1.0164564209 -0.1122086828
## [637,] 1.588390422 0.9008362273 0.4713860351 -0.0353028724
## [638,] 2.358637105 -1.9751545714 0.6419766979 0.1546515517
## [639,] -0.672257476 -0.1535209188 -1.1397794143 -0.1971437234
## [640,] -0.101957181 1.2641317404 1.5268592720 -0.5677429452
## [641,] 0.082126335 0.6485098439 0.2764906041 -0.0734315177
## [642,] -1.028806835 -0.3454574155 -1.4425716491 -0.2911138745
## [643,] 1.524682283 -1.9641862252 0.8314947243 -0.0016717424
## [644,] -1.665774215 0.5480510351 0.4185980847 0.2480289767
## [645,] 0.250225114 -2.4790261952 0.0803688095 -0.1702560569
## [646,] -1.753514843 0.1333002000 -0.3741433582 0.2130088182
## [647,] 0.733360701 0.6274734379 0.1069836842 -0.0865381702
## [648,] -0.744266292 -2.7218045559 -0.1957872462 -0.2640351449
## [649,] -0.105608419 -2.1664830361 0.7586122782 -0.0258688176
## [650,] -1.269632476 -0.0956317315 -0.9115574955 -0.0572615668
## [651,] -1.275885164 -0.1822321851 -1.0783070437 -0.1192408014
## [652,] -1.218584626 0.8670253718 0.9604492332 -0.0639341788
## [653,] -1.604284883 0.5814714629 0.4720886173 0.2337412753
## [654,] -1.741017171 -1.8806422082 1.6309401747 0.4253599029
## [655,] -0.509481193 -0.2610660198 -1.3797806589 -0.3104007714
## [656,] 2.232972153 0.7543464360 0.0537344779 0.1496974528
## [657,] 0.812972782 0.4706296311 -0.2165710240 -0.0297982459
## [658,] -2.153321210 0.4287836828 0.2765692771 0.4925363620
## [659,] -1.156729662 0.8912095581 0.9962492396 -0.0988715058
## [660,] -2.018932848 0.4082192097 0.2114759164 0.4143276257
## [661,] -1.445108950 0.2673032317 -0.1714902402 0.1369894646
## [662,] -2.177431842 0.4133488394 0.2508323695 0.5078947262
## [663,] 1.367403811 0.8592609603 0.4350925529 -0.0977733814
## [664,] -0.579147415 1.1716749926 1.4366894521 -0.3935357362
## [665,] -1.180627555 -0.1519698011 -1.0380846180 -0.1135962329
## [666,] -1.313089719 -0.1124916092 -0.9358602014 -0.0606566696
## [667,] -0.505065310 0.9654233043 1.0156716335 -0.2441607788
## [668,] -1.643976554 0.1775991819 -0.3087408866 0.1922377337
## [669,] 1.169102046 1.0337211608 0.8177081552 -0.2097959811
## [670,] -0.701617260 1.1122044242 1.3436531849 -0.3478401265
## [671,] -0.523295116 1.0619366735 1.2095349510 -0.3187492060
## [672,] -1.268448023 -0.1871453191 -1.0892715301 -0.1244142384
## [673,] -1.484346965 0.6446257899 0.5741714432 0.1246660278
## [674,] 0.430135923 -1.5517783514 1.8572033882 -0.1538286827
## [675,] 3.077450325 -1.8657046214 0.7097431120 0.3522378759
## [676,] -0.691618253 1.0045053521 1.1287478095 -0.2355177432
## [677,] -1.904570742 0.2671231959 -0.0850704256 0.3255529069
## [678,] -0.619702252 -0.5127103294 -1.8463272616 -0.4815243489
## [679,] 0.906755103 0.4494703300 -0.2770429071 -0.0025327888
## [680,] -1.186639480 -0.2411897934 -1.2098808811 -0.1813220452
## [681,] 1.390674210 0.7687721536 0.2516354903 -0.0054802042
## [682,] -1.360962414 -0.0402878268 -0.7864271725 -0.0050465637
## [683,] 1.516842469 -2.2339028159 0.3055597089 0.0077711199
## [684,] -1.333729588 -0.1440189205 -0.9930277046 -0.0790029582
## [685,] -1.684101533 0.0874442824 -0.4764785651 0.1647234063
## [686,] -0.604423912 1.0442991624 1.1903543312 -0.2844312734
## [687,] -1.418194032 -2.2835919274 0.7844313479 0.1888948386
## [688,] -0.389125464 1.0112963117 1.0827018384 -0.2562266775
## [689,] 1.183898927 0.5184632244 -0.1960822022 -0.0419403422
## [690,] -2.170821051 0.4089816091 0.2410861593 0.5032961156
## [691,] 0.074205758 0.2817288957 -0.4389502877 -0.0750416327
## [692,] -0.834537702 1.0279002426 1.2025478794 -0.2274368430
## [693,] -1.165519115 -0.1544648505 -1.0460843523 -0.1071318536
## [694,] -1.342602374 -1.6983571966 1.9137392396 0.1825298350
## [695,] -2.167515655 0.4067979940 0.2362130542 0.5009968103
## [696,] 2.317047742 0.8528065875 0.2293566606 0.1616052911
## [697,] -1.600302648 0.1147498462 -0.4394354471 0.1544698503
## [698,] 1.321749700 -1.9467372493 0.9053559759 0.0144780602
## [699,] 1.579207336 0.9953192003 0.6594364020 -0.1072367869
## [700,] 1.210790517 0.9292660418 0.6036672542 -0.1343938736
## [701,] 0.439287844 0.2662407856 -0.5409097678 -0.0960510437
## [702,] 0.234990959 0.1578514027 -0.7126253697 -0.0875274048
## [703,] -2.142619673 0.4210176552 0.2594642744 0.4835131502
## [704,] -1.580489627 0.1388616329 -0.3962307580 0.1553381962
## [705,] -0.082916959 0.1422332785 -0.6801035426 -0.0992017910
## [706,] 0.997861324 0.9387218314 0.6659107778 -0.2140900186
## [707,] 0.881378370 -2.4578046481 -0.0042496765 -0.1036552435
## [708,] 0.006018899 0.2526633607 -0.4826995236 -0.0562528850
## [709,] 0.069042241 0.1979371552 -0.6005777808 -0.1297783035
## [710,] -2.185695331 0.4188078772 0.2630151322 0.5136429896
## [711,] -0.274007379 0.0530352650 -0.8165792443 -0.1062673391
## [712,] -0.370339377 1.1417296028 1.3362598121 -0.3636058185
## [713,] -0.479711592 -0.0986783197 -1.0706053234 -0.1971095322
## [714,] 0.015368512 1.3182264624 1.6107485063 -0.6297554425
## [715,] 1.191172140 0.3964440509 -0.4377088509 0.0357245498
## [716,] 1.230004587 1.0457646056 0.8290831544 -0.2033252725
## [717,] 0.358314608 0.1934961176 -0.6666833808 -0.1168615425
## [718,] -0.752482592 0.4477768830 0.0476788331 -0.0132972179
## [719,] 2.179619376 -1.5672928219 1.4758666604 0.0994265889
## [720,] -2.147970441 0.4249006690 0.2680167757 0.4880247561
## [721,] -0.430995578 1.2162221541 1.4957581127 -0.4524645966
## [722,] -0.934586341 -0.2562325912 -1.2882156388 -0.2223063940
## [723,] -1.685949334 0.1662580307 -0.3228387904 0.2025472441
## [724,] 0.894142747 -2.2652004934 0.3691505784 -0.0748946393
## [725,] -1.680623950 -1.8839304789 1.6131892857 0.3966576355
## [726,] -1.429088383 0.6339094568 0.5418793347 0.1447022075
## [727,] -1.001909455 -0.1887858413 -1.1436797314 -0.1930882774
## [728,] 0.679910616 -2.2865750335 0.3699273006 -0.0861411573
## [729,] 1.543088643 0.8225504448 0.3273917753 -0.0400576963
## [730,] 1.049696523 0.3921795666 -0.4169607059 -0.0177531697
## [731,] -2.060438882 0.4634155536 0.3271122236 0.4364818479
## [732,] -0.186597645 0.1852052282 -0.5759142990 -0.0849492207
## [733,] 2.048719231 0.8955791003 0.3684967892 0.0433048950
## [734,] 0.247858324 0.0713168642 -0.8833521309 -0.1340167184
## [735,] -0.503075603 0.5360450217 0.1713463585 -0.0312524707
## [736,] 0.907073946 -0.0762188964 -1.3017017490 -0.1487501722
## [737,] 2.751283546 0.6855582725 -0.1856985633 0.2701728350
## [738,] 0.922089225 -1.9760377019 0.9278518384 -0.0241116165
## [739,] 2.745337154 -1.5754721202 1.3447902545 0.2559643959
## [740,] 0.426971904 0.6175377408 0.1493480543 -0.1457867757
## [741,] -1.140048192 -0.2311820295 -1.1993166068 -0.1909494481
## [742,] -0.411986845 -0.2929758992 -1.4615487622 -0.3045337759
## [743,] -0.302329766 1.1874193162 1.4132256794 -0.4145428661
## [744,] -1.643972230 0.2081815628 -0.2489471107 0.1918850386
## [745,] 3.428094186 -1.7563385144 0.8533959977 0.3936454341
## [746,] 3.586307177 -1.7888998191 0.7573563345 0.4467513047
## [747,] -0.944158278 -2.5491503654 0.1778102546 -0.1026244725
## [748,] -0.878537118 1.0482427045 1.2522583356 -0.2863135505
## [749,] 2.047305030 0.6652564041 -0.0836990854 0.1472279869
## [750,] -0.518047766 0.4062174657 -0.0803960985 0.0108591034
## [751,] 1.983285330 0.8529727801 0.2983366483 0.0335989639
## [752,] -1.064460315 -0.0529255034 -0.8682349912 -0.0746159835
## [753,] -0.963854549 -0.3374820463 -1.4398228535 -0.2906182365
## [754,] 0.298740306 -2.5252009458 -0.0180899107 -0.2360314581
## [755,] -0.345996608 1.2863486833 1.6186332586 -0.5737628477
## [756,] -2.124387321 0.4422508166 0.2975190655 0.4765860679
## [757,] -0.428057904 -0.0806525520 -1.0458382932 -0.1844946018
## [758,] 2.472954157 0.8059848124 0.1066194725 0.1805252313
## [759,] -2.165036608 0.4051602827 0.2325582254 0.4992723313
## [760,] -0.029688187 -0.0029776516 -0.9728568960 -0.1766546209
## [761,] -1.261342692 -0.1044042613 -0.9300642112 -0.0705020059
## [762,] 1.569625251 0.9893120871 0.6500379624 -0.1285457153
## [763,] -0.354307039 1.2731613139 1.5937914242 -0.5406315179
## [764,] -1.594732604 0.3807631152 0.0784460847 0.2045097546
## [765,] -0.287494106 0.0983480240 -0.7243230568 -0.1537444560
## [766,] -1.801751759 0.5837119553 0.5142979145 0.2894924882
## [767,] 0.501000967 0.4492214140 -0.1963638048 -0.0498388712
## [768,] -0.752287842 0.1719052450 -0.4917170020 -0.0113644777
## [769,] -1.880369068 0.5438112780 0.4506471001 0.3450452499
## [770,] -0.256461578 -0.1550976312 -1.2246156388 -0.2156215353
## [771,] -2.179910889 0.4149865507 0.2544871983 0.5096192052
## [772,] -0.842846817 -0.2729751119 -1.3383481659 -0.2563660230
## [773,] 0.653585961 0.1101683639 -0.8874586815 -0.1386034802
## [774,] 3.236907612 0.6452928753 -0.3637288991 0.4290971829
## [775,] -1.782117234 0.2195868746 -0.2005127124 0.2463115318
## [776,] -1.101132029 -0.2462133028 -1.2363297703 -0.1938092032
## [777,] 2.328374615 0.4429224276 -0.5738844398 0.1474032978
## [778,] -1.723759091 0.1515283635 -0.3442913921 0.2085134569
## [779,] 1.766798933 0.9217592201 0.4774355433 -0.0538223436
## [780,] -1.626503007 0.2007147476 -0.2669338159 0.1889701559
## [781,] -0.590954027 0.4217214443 -0.0351877482 -0.0124803322
## [782,] -1.646089483 0.0623327085 -0.5325192736 0.1382813951
## [783,] 0.311061105 1.0744357382 1.0691161408 -0.3179951819
## [784,] 1.953432764 -2.1986226649 0.2880204495 0.0198482236
## [785,] 1.157955043 1.0840108551 0.9189525063 -0.2441107897
## [786,] -0.189852042 0.4632954375 -0.0316314372 -0.0843062233
## [787,] -0.182131386 0.1380091505 -0.6683471199 -0.1186808761
## [788,] 1.658299685 0.9647724373 0.5842163662 -0.1130433018
## [789,] 0.844790437 0.8668738805 0.5543604557 -0.1513107229
## [790,] 1.718097422 0.8396726159 0.3269232479 -0.0699231335
## [791,] -1.984661766 0.5088832504 0.4019879391 0.3912734316
## [792,] 0.017621739 0.4025784924 -0.1919301933 -0.0555195966
## [793,] -1.577856377 0.2143321025 -0.2499276651 0.1891764723
## [794,] -1.402019743 -0.0528256539 -0.8030033935 0.0032839973
## [795,] 0.237963047 0.2194376944 -0.5928699404 -0.0848993476
## [796,] -1.514484261 0.6123477494 0.5161315444 0.1666985309
## [797,] -2.178258191 0.4138947432 0.2520506458 0.5084695526
## [798,] 2.222486439 0.5919214960 -0.2626077093 0.1911957956
## [799,] 2.097419072 -1.4979183454 1.6287497737 0.0513784138
## [800,] -0.398429662 -0.2903840332 -1.4595156664 -0.2877795344
## [801,] -0.995556301 0.8870605562 0.9567099166 -0.1183682895
## [802,] 0.428675364 0.6190437099 0.1503752716 -0.0713042397
## [803,] -0.867509713 -0.2200270682 -1.2306133233 -0.2257961353
## [804,] 1.936363311 0.9094523048 0.4190608681 -0.0153836574
## [805,] -0.919366763 0.2848725717 -0.2389742433 0.0410341867
## [806,] 3.050031277 0.6372242254 -0.3404923268 0.3305675558
## [807,] 1.213514445 0.1822957316 -0.8597238709 -0.0137200857
## [808,] -1.359346405 -0.1270959033 -0.9552611401 -0.0611833419
## [809,] 2.205777418 0.4658907919 -0.5052585676 0.1708220713
## [810,] 2.847600120 0.6594518806 -0.2561475903 0.2882541588
## [811,] -0.844588905 0.9173491609 0.9865066702 -0.1376680767
## [812,] -0.992189274 0.7532071641 0.6933554800 -0.0706712578
## [813,] -1.823130668 -1.9256843203 1.5582356836 0.4664494989
## [814,] 0.015231636 0.0931668542 -0.7947268842 -0.1317119758
## [815,] -1.034653249 -0.2924866378 -1.3388312167 -0.2453955409
## [816,] 2.040415272 0.4083436645 -0.5839441393 0.1167645009
## [817,] 0.422277993 -0.2392929241 -1.5219378020 -0.2801704929
## [818,] 2.222438148 0.7828295928 0.1132656344 0.0664286098
## [819,] 2.536566506 0.4998641083 -0.5070229305 0.3041523799
## [820,] 0.764170916 0.4403408043 -0.2668126413 0.0017697411
## [821,] 1.626584603 0.2826285120 -0.7466919579 0.0572906561
## [822,] -1.287315744 -0.0051380982 -0.7322479331 -0.0056590006
## [823,] -0.248379102 1.1818877416 1.3925796459 -0.4535007885
## [824,] -0.301176802 -0.1003577733 -1.1091611305 -0.1970771927
## [825,] -0.391736998 -2.7058426658 -0.2336039503 -0.2935048057
## [826,] -1.690154773 0.5312509038 0.3903157091 0.2600750127
## [827,] 1.888469307 0.6026665993 -0.1734007352 0.0869725543
## [828,] -0.611852042 0.6155715943 0.3492908063 -0.0776036313
## [829,] 1.991976537 0.2903418714 -0.8059552475 0.1588397365
## [830,] -0.980644345 0.8632440423 0.9066167596 -0.0907064609
## [831,] 1.775803697 0.9037369117 0.4396586320 -0.0177617544
## [832,] 0.718857287 0.2497411986 -0.6294059092 -0.0485606073
## [833,] -0.833687139 -2.5745070275 0.1072323590 -0.1411876764
## [834,] 2.260440877 -1.8017775193 0.9995667308 0.1901909750
## [835,] 1.337255339 0.8023705821 0.3286442865 -0.0418567368
## [836,] -1.774999915 0.1474936983 -0.3424681751 0.2279543028
## [837,] 0.399803256 0.3223881132 -0.4238938582 -0.0701186336
## [838,] -0.936380515 0.9873496770 1.1426417065 -0.1919920463
## [839,] 2.179479803 -1.9496163644 0.7276398861 0.1385179118
## [840,] 3.007587734 0.6876430897 -0.2337647485 0.3411367595
## [841,] -1.870374160 0.5632092709 0.4869701558 0.3273478706
## [842,] -1.620610449 0.4614663205 0.2408452781 0.2273380369
## [843,] -1.023022392 -0.3492787419 -1.4510995830 -0.2951376588
## [844,] -1.770685763 0.5954920279 0.5315732202 0.2714274578
## [845,] 1.904973786 0.7327121171 0.0784285267 0.0465846164
## [846,] -1.591395342 0.4257519598 0.1649955284 0.2394975009
## [847,] 2.562990804 0.7968981964 0.0699720805 0.2321600030
## [848,] 2.448714628 0.8098348109 0.1191622895 0.1698070877
## [849,] 3.439316005 0.6057491448 -0.4825666862 0.5018295425
## [850,] 1.325410808 0.5247232064 -0.2130330274 0.0160912213
## [851,] -2.064585965 0.3750610394 0.1550872316 0.4419157522
## [852,] -1.270831634 -0.0081009142 -0.7414348250 0.0008484596
## [853,] -0.237987106 1.3098001360 1.6431319218 -0.5733307816
## [854,] 2.361032923 0.5665144575 -0.3407851422 0.2447449196
## [855,] 2.329768106 0.8426739392 0.2073056695 0.1488355701
## [856,] -1.669227253 0.0776180144 -0.4984075380 0.1543765324
## [857,] 2.122174298 0.7178928761 0.0050411744 0.1175462271
## [858,] 1.525047644 1.0101725220 0.6993812932 -0.1170107675
## [859,] -1.485682414 0.7488498410 0.7791125252 0.0811161399
## [860,] 2.126009898 0.6413522184 -0.1446907270 0.0864714305
## [861,] -0.215244250 -2.2679155163 0.5828072098 -0.0650239194
## [862,] -0.830151303 -0.3721395774 -1.5331213440 -0.3316313062
## [863,] 0.114865431 -0.0540680727 -1.1012975681 -0.1765223549
## [864,] -1.039427478 -0.2001567792 -1.1587903641 -0.1792721530
## [865,] 0.189592082 1.0690363805 1.0834071178 -0.3579944511
## [866,] -2.054663910 0.4622466658 0.3236441072 0.4384648127
## [867,] 1.671397530 0.6340903128 -0.0683788776 0.0537645154
## [868,] -1.999511429 0.3731021012 0.1388666250 0.4199836450
## [869,] 2.731246468 0.7385640913 -0.0773672992 0.2348840688
## [870,] 1.969118266 0.4985090097 -0.3937557934 0.1246071431
## [871,] -0.337513664 1.2842380936 1.6127883704 -0.5717425031
## [872,] 0.535123171 0.9429095692 0.7657989874 -0.2273546168
## [873,] 1.452114263 0.2842226603 -0.7091709903 0.0603258912
## [874,] -1.865223934 0.2807446057 -0.0660609278 0.3183069556
## [875,] -0.025739745 -0.2781888926 -1.5088411669 -0.3096148870
## [876,] 0.496305932 0.7291602711 0.3532321710 -0.1158610197
## [877,] 1.054255883 0.8316512012 0.4422478896 -0.0631184354
## [878,] -0.411139432 0.5047346511 0.0933930243 -0.0981866131
## [879,] -0.214392747 -0.4181255755 -1.7425906049 -0.4297736850
## [880,] -1.238466984 -1.6361870113 2.0158575778 0.1282453932
## [881,] -0.888712772 -0.2038031161 -1.1951268988 -0.2060203744
## [882,] 2.972601376 0.5529783076 -0.4904362648 0.3562221762
## [883,] -0.319042954 0.9175777506 0.8845197895 -0.2033995207
## [884,] -2.177431842 0.4133488394 0.2508323695 0.5078947262
## [885,] -0.584445282 -2.5839786934 0.0401241403 -0.1717951582
## [886,] 0.945607898 -2.5262916568 -0.1486264625 -0.2074152378
## [887,] 0.730940347 0.2196145047 -0.6894456584 -0.1071777225
## [888,] 2.332972033 0.5665668901 -0.3331847860 0.1526488525
## [889,] 0.440689837 0.1474303782 -0.7736790271 -0.0855220156
## [890,] 1.744270485 0.3174712920 -0.7010693455 0.0216148380
## [891,] 0.513182458 -2.1509374044 0.6673023988 -0.0517576999
## [892,] -2.102234090 0.3636715954 0.1399692287 0.4555855301
## [893,] 1.657301836 0.7272110534 0.1181281041 -0.0251997308
## [894,] 0.457673081 0.0741500082 -0.9185364846 -0.1683565802
## [895,] 3.373432813 0.5830455387 -0.5132001642 0.4671910550
## [896,] 2.032276355 0.3639354795 -0.6698348771 0.1489419672
## [897,] -0.328255504 -0.2670068359 -1.4270396475 -0.3178720101
## [898,] 1.561043715 0.4167998751 -0.4723473183 0.0998332100
## [899,] -2.161418582 0.4322760103 0.2849661847 0.4939584313
## [900,] -0.463411359 -0.3063249432 -1.4774471902 -0.3063604629
## [901,] -0.150461184 -0.1279512821 -1.1926402596 -0.2084233246
## [902,] 2.213129897 0.4170516907 -0.6029226110 0.2053816336
## [903,] 1.876172251 0.7937595000 0.2039745280 0.0224979983
## [904,] -0.187329921 -2.7230819049 -0.3073816726 -0.3079960149
## [905,] -1.456756243 0.0615890460 -0.5701289830 0.0793984076
## [906,] -0.681542804 0.1933733068 -0.4630039086 -0.0453278472
## [907,] -1.976012455 0.5087866646 0.3999477410 0.3979939668
## [908,] 3.200311644 0.6227745042 -0.4002938024 0.4183765271
## [909,] -0.680013377 -2.4169255009 0.3836127106 -0.0787852819
## [910,] -0.130524791 -2.5063001911 0.1026708573 -0.1890784008
## [911,] 3.100243750 0.6862269724 -0.2563477811 0.4122658031
## [912,] -1.855501748 0.5620075408 0.4814872277 0.3365554530
## [913,] 0.037563168 1.3240372908 1.6170661759 -0.5987722294
## [914,] -1.051463681 -2.5632134146 0.1710627174 -0.0812036198
## [915,] -0.066445476 -2.2419160623 0.6048905810 -0.0957891988
## [916,] 1.562581534 1.0055597726 0.6825312407 -0.0973557726
## [917,] 0.005022434 0.1528149650 -0.6773176279 -0.0743532975
## [918,] 0.291831878 -0.1696096431 -1.3610707347 -0.2268250721
## [919,] -0.337506198 1.1724007756 1.3906571657 -0.4071188898
## [920,] -1.852374807 0.5571447559 0.4715436592 0.3280380091
## [921,] -0.598952410 0.0437140690 -0.7705400923 -0.1093096137
## [922,] 1.581207693 0.7362905590 0.1517700662 -0.0656642316
## [923,] 0.064352107 -2.3162567041 0.4335883448 -0.0897120376
## [924,] 0.131277009 0.2852660077 -0.4429733910 -0.0909327836
## [925,] -0.872901977 -2.5967344690 0.0717841867 -0.1533498350
## [926,] -0.642461298 -0.0668255623 -0.9764221225 -0.1857608718
## [927,] 2.737072439 0.6283443228 -0.2947048805 0.2684416459
## [928,] 0.289252548 0.1543543944 -0.7294585240 -0.1216225295
## [929,] -0.597043994 0.0479662073 -0.7628414505 -0.0981368143
## [930,] 0.295272782 0.2608884059 -0.5231700293 -0.0843319404
## [931,] -0.201092547 1.3683767765 1.7528268987 -0.6897123799
## [932,] -0.720861909 -2.6347547266 -0.0318613290 -0.1872757597
## [933,] -1.586777085 0.4204378584 0.1538713537 0.2311532238
## [934,] -0.757831523 -2.6221003553 0.0002017514 -0.1882438176
## [935,] -0.985695182 -0.1532439167 -1.0779073164 -0.1691896969
## [936,] 2.761538392 0.5467136091 -0.4600486051 0.3120785224
## [937,] -1.774157026 0.6036230675 0.5478227255 0.2870793416
## [938,] -1.489469632 0.7130220136 0.7086493709 0.1362408515
## [939,] -1.635417436 0.4686483749 0.2577177091 0.2317432045
## [940,] -0.109841490 0.1290519626 -0.7009395019 -0.0809912570
## [941,] 1.594222937 1.0107239990 0.6855887980 -0.0602593721
## [942,] 2.020968881 0.3909184929 -0.6144771740 0.1313520674
## [943,] -1.192758099 -0.1490511654 -1.0299161874 -0.1167109041
## [944,] -2.085159026 0.4485574577 0.3026058761 0.4526589492
## [945,] 0.759792476 -2.2518652834 0.4219295832 -0.0827485991
## [946,] 1.097492431 -2.2779460145 0.3041685749 -0.0800448092
## [947,] -1.182006938 0.8669207342 0.9524006320 -0.0348243195
## [948,] -1.489737082 -2.2367120583 0.8891760831 0.2377932994
## [949,] -0.966949186 -0.0860966589 -0.9509328610 -0.1412964984
## [950,] -0.773495578 0.3443545937 -0.1509377449 0.0141399834
## [951,] -0.956566434 0.2017682424 -0.3938953196 0.0318539189
## [952,] 0.138955666 -0.0566124143 -1.1113186655 -0.1629634439
## [953,] -1.770041822 0.1442182756 -0.3497778328 0.2245053448
## [954,] 0.023024650 1.3093005709 1.5906064351 -0.5741509567
## [955,] -1.448095094 0.0581769120 -0.5784939530 0.0786105063
## [956,] -0.048176408 0.1219639271 -0.7262088718 -0.1172889656
## [957,] 0.382809605 0.1910093508 -0.6766815486 -0.1028473314
## [958,] -1.582744705 -2.0021601059 1.3637825614 0.3465073791
## [959,] -1.705751462 0.6240949082 0.5751382004 0.2489800484
## [960,] -0.959129446 -2.3167671729 0.6315356869 0.0637824387
## [961,] 1.347199679 -1.7037073726 1.3766247038 -0.0413473129
## [962,] -1.753514843 0.1333002000 -0.3741433582 0.2130088182
## [963,] -0.238289481 -2.7370282588 -0.3245188498 -0.3108040463
## [964,] -2.027096882 0.5014570136 0.3954543752 0.4100889834
## [965,] -2.107152008 0.4314334969 0.2731936668 0.4658863165
## [966,] 1.946124762 0.8941914159 0.3863871768 0.0275454990
## [967,] -0.876649752 -0.4000471895 -1.5778377486 -0.3625169388
## [968,] -1.012279856 -0.3563754911 -1.4669371745 -0.3026104011
## [969,] 1.476775848 0.4027597603 -0.4825157740 0.0700885545
## [970,] 1.098309169 0.7482257604 0.2707576173 -0.0775367534
## [971,] -0.401736841 -1.4954627179 2.1312659205 -0.1359564325
## [972,] 1.358726322 0.7169966215 0.1568054559 -0.0091105262
## [973,] 3.017669951 0.6392555055 -0.3296746939 0.3092092010
## [974,] -1.353561963 -0.1309172298 -0.9637890741 -0.0652071262
## [975,] -0.802218360 -0.0299662256 -0.8748132303 -0.0909577743
## [976,] 2.652503815 -1.8666299566 0.7947297018 0.2182984851
## [977,] -0.288206298 0.5369433560 0.1313879884 -0.0659240909
## [978,] -1.640015899 0.6747687248 0.6620959522 0.2075198270
## [979,] -1.068402284 0.9417796786 1.0781613633 -0.1224409210
## [980,] -0.320950109 0.6639010798 0.3864184318 -0.0831255163
## [981,] -1.077561421 -0.3132490924 -1.3706933490 -0.2571991210
## [982,] -0.020574489 1.3350075411 1.6504602748 -0.6205426048
## [983,] 0.538608819 -2.1313347287 0.7007043727 -0.0566099542
## [984,] -1.390649128 0.3129926870 -0.0930961556 0.1448815820
## [985,] -2.182389936 0.4166242621 0.2581420271 0.5113436842
## [986,] -1.450317558 0.7718565412 0.8168727751 0.0919563219
## [987,] -1.242685039 0.8608802324 0.9524241437 -0.0275034102
## [988,] 1.352736248 0.6303702934 -0.0115286752 -0.0012366713
## [989,] -0.403532037 1.1416522918 1.3432350849 -0.3904123568
## [990,] -1.459926614 0.6427918515 0.5654341352 0.1401006226
## [991,] -1.814797974 0.4688174039 0.2920959682 0.2973085046
## [992,] -1.833118709 0.5752063061 0.5033310024 0.3147407406
## [993,] 0.494162723 0.2455181767 -0.5921999404 -0.0990117343
## [994,] 0.077984841 0.3799827611 -0.2479698150 -0.0583242240
## [995,] -0.544750016 -2.7384125860 -0.2673118528 -0.2810191025
## [996,] -0.124208071 1.3607365835 1.7217598857 -0.6453501650
## [997,] -1.306221341 -0.1201394316 -0.9519172619 -0.0724872845
## [998,] -0.632786400 -0.3099770403 -1.4510233731 -0.3111329011
## [999,] 0.098675866 -2.1823496189 0.6889572366 -0.1070471347
plot(telecom_pca)
#get the original value of the data based on PCA
center <- telecom_pca$center
scale <- telecom_pca$scale
new_telecom <- as.matrix(telecom[,-1])
new_telecom
## SeniorCitizen tenure MonthlyCharges TotalCharges
## [1,] 0 1 29.85 29.85
## [2,] 0 34 56.95 1889.50
## [3,] 0 2 53.85 108.15
## [4,] 0 45 42.30 1840.75
## [5,] 0 2 70.70 151.65
## [6,] 0 8 99.65 820.50
## [7,] 0 22 89.10 1949.40
## [8,] 0 10 29.75 301.90
## [9,] 0 28 104.80 3046.05
## [10,] 0 62 56.15 3487.95
## [11,] 0 13 49.95 587.45
## [12,] 0 16 18.95 326.80
## [13,] 0 58 100.35 5681.10
## [14,] 0 49 103.70 5036.30
## [15,] 0 25 105.50 2686.05
## [16,] 0 69 113.25 7895.15
## [17,] 0 52 20.65 1022.95
## [18,] 0 71 106.70 7382.25
## [19,] 0 10 55.20 528.35
## [20,] 0 21 90.05 1862.90
## [21,] 1 1 39.65 39.65
## [22,] 0 12 19.80 202.25
## [23,] 0 1 20.15 20.15
## [24,] 0 58 59.90 3505.10
## [25,] 0 49 59.60 2970.30
## [26,] 0 30 55.30 1530.60
## [27,] 0 47 99.35 4749.15
## [28,] 0 1 30.20 30.20
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## [723,] 0 3 45.35 141.50
## [724,] 1 33 94.50 3105.55
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## [819,] 0 61 106.35 6751.35
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## [868,] 0 3 26.40 121.25
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## [883,] 0 49 35.80 1782.00
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## [931,] 0 72 19.30 1304.80
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## [940,] 0 24 79.85 2001.00
## [941,] 0 72 65.50 4919.70
## [942,] 0 54 104.10 5645.80
## [943,] 0 3 74.40 215.80
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## [945,] 1 32 91.35 2896.55
## [946,] 1 35 99.05 3395.80
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## [948,] 1 2 44.95 85.15
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## [958,] 1 7 29.80 220.45
## [959,] 0 17 20.50 365.80
## [960,] 1 8 60.90 551.95
## [961,] 1 56 73.25 4054.20
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## [964,] 0 7 19.25 112.30
## [965,] 0 3 20.85 60.65
## [966,] 0 71 77.35 5550.10
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## [968,] 0 1 90.55 90.55
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## [970,] 0 58 70.10 4048.95
## [971,] 1 44 30.35 1359.70
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## [973,] 0 71 108.05 7532.15
## [974,] 0 1 69.90 69.90
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## [977,] 0 35 54.95 1916.00
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## [993,] 0 35 85.30 2917.50
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## [995,] 1 4 94.30 424.45
## [996,] 0 72 20.70 1492.10
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## [998,] 0 7 95.35 660.90
## [999,] 1 27 75.50 1893.95
drop(scale(new_telecom,center=center, scale=scale)%*%telecom_pca$rotation[,1])
## [1] -2.015467453 -0.286167867 -1.580345244 -0.287614123 -1.294160708
## [6] -0.494044929 -0.020111087 -1.733455753 0.688536938 0.800699638
## [11] -1.254566657 -1.764971394 2.061385552 1.724378831 0.527494462
## [16] 3.161504599 -0.716173101 2.952410314 -1.254731788 -0.052469384
## [21] -1.611728253 -1.878281489 -2.175779144 0.775447113 0.410974980
## [26] -0.507827005 1.525172980 -2.009683010 2.415256278 -0.777763717
## [31] 2.848230035 -0.641013427 -0.300560723 -2.174952795 -1.519177173
## [36] 2.827024440 -1.194294975 0.756572527 0.995843188 -0.372576730
## [41] -1.361697679 1.595061949 -1.686527850 1.605413825 -0.714410979
## [46] 1.086026186 -1.658263057 -1.134762350 1.167167537 1.311538924
## [51] 1.264868979 -0.168370241 -0.085154857 -0.614912060 1.580551201
## [56] 0.176758767 2.346069747 3.020282165 -1.093507929 3.124480162
## [61] 1.531689184 1.870638938 0.648254123 -0.961557792 -0.545892972
## [66] -1.169962034 0.875427786 0.182493361 -0.796456606 -0.750675757
## [71] -1.698149465 -0.700659398 3.032428488 -0.313836135 -1.364614999
## [76] 2.554954116 0.197136523 -1.322542296 0.217664019 -0.734366957
## [81] -1.197382016 -1.296764834 -1.008206279 1.361647046 -0.806959336
## [86] -0.448546799 -0.084717836 -0.797431545 -0.891905672 -1.031259395
## [91] 0.227101041 -1.032457656 1.987686410 2.806811496 2.903210552
## [96] -0.708173758 1.543929464 -2.042972026 -0.686131807 0.606006347
## [101] -2.174952795 -2.187348029 0.918938002 0.828260114 3.004049207
## [106] -1.994145410 2.910881473 -1.044980444 1.113535949 -0.182569918
## [111] 1.806754913 0.473311559 1.079176733 0.624327885 0.802448837
## [116] -0.932457938 -0.881816122 -0.368163059 -1.021001971 0.088899116
## [121] 1.959011199 -2.026197593 -1.188782751 -1.447591995 -2.083725783
## [126] 0.539725647 0.209918439 -0.010898566 -2.182389936 1.396133635
## [131] -0.488380801 -0.576201423 0.757771042 -1.922916373 -1.742382162
## [136] -0.791376856 -0.275699196 -0.376504769 -0.576670736 -1.102697315
## [141] 2.637556123 -1.031083507 2.224966267 1.824074123 0.223919674
## [146] 2.412380218 -2.127246954 -1.754341192 -0.242980107 -0.751647226
## [151] -1.073099568 -0.640030879 3.111701929 1.786414072 -2.042218618
## [156] -0.565777248 -0.137336369 -1.581914961 -0.827824399 -1.813761641
## [161] -1.105125107 -0.277685139 -1.315154533 1.019911639 -1.878916383
## [166] -0.242720302 -1.210277456 2.362522478 0.533272788 -1.742987721
## [171] 0.839076685 -0.720591805 -0.540357577 1.661339506 -1.279821564
## [176] -1.130555556 -0.408013662 -0.743385170 -0.028474511 -0.446593399
## [181] -2.013814755 -1.760125634 -0.785685539 0.143094098 -0.627242566
## [186] -2.098928694 -0.938926300 -1.945864424 -1.845639560 -0.013645536
## [191] 0.532751459 -0.763753011 -0.241701043 3.239883891 -0.529586745
## [196] 0.041504261 -1.423797011 2.505245073 3.255949403 -2.165862957
## [201] 0.513172914 -0.591288638 2.940458725 -0.665132866 0.444015173
## [206] 0.294475844 1.216941856 -1.188292177 0.191402077 2.513449429
## [211] -1.714650062 -2.091491554 -0.496532742 -1.390183335 0.214739477
## [216] 0.714439146 0.750808255 0.986205791 1.855475220 -0.869756792
## [221] -1.223800243 0.018466833 -2.174952795 -1.575912620 -1.880644639
## [226] -0.790721995 0.228193786 -1.596508547 0.398788586 1.111447309
## [231] 2.117501542 1.498031583 -1.110615378 -0.109889215 -1.259735971
## [236] -1.569694178 -1.736715414 -0.556239678 -0.172771995 -1.764254088
## [241] 2.350509329 3.159196787 0.536800409 2.494646248 -0.892448846
## [246] -0.896128512 0.189676268 -0.429468453 -1.706412954 1.275306480
## [251] 1.483814874 -1.300333090 -1.602638415 0.317688173 -1.925680891
## [256] 1.147868075 2.752892848 2.138312705 -1.738525078 -0.543376534
## [261] -1.515062327 0.136554351 1.891387507 -0.576583362 1.787988537
## [266] 1.886173788 -0.642898886 0.428243968 -0.555691572 -0.019705730
## [271] 0.045191278 0.734348784 -2.098928694 0.531953653 -1.341993078
## [276] -0.915016951 1.984786439 -0.369501616 -1.096447796 -1.526109774
## [281] -1.406045462 -1.328385636 -2.089012507 0.967514972 -0.061965617
## [286] -0.280762554 -1.087855913 -1.351909265 -0.722508773 -1.449667016
## [291] -0.012310872 -0.156304632 -0.037168857 -0.538131197 -1.874672271
## [296] -2.174126447 1.892157482 1.137964837 0.461889938 -1.292412142
## [301] -0.517387135 -0.534272919 -0.869454569 1.184296677 0.571289095
## [306] -0.589184662 0.321175896 -0.050346927 1.299967751 0.905048451
## [311] -2.190653425 -0.039180670 1.731201079 -0.951062247 -0.988780961
## [316] 2.060995141 -0.199582997 0.522109306 0.414408076 0.687022178
## [321] 1.536586078 1.315341185 -1.768389124 -1.415338168 1.222586093
## [326] 1.805900140 -0.438710303 -1.061712015 -0.787641432 -0.135536917
## [331] -1.198343873 -1.990778442 1.335829067 -1.025166682 -1.132206039
## [336] 1.778571815 1.522412449 2.226159230 0.858588810 2.491325846
## [341] -0.144465070 2.277300407 1.370391266 -0.379837665 -1.018866996
## [346] -1.075427800 -0.969489948 -0.244584145 -0.989634656 2.602197147
## [351] -0.010310742 -1.223173899 -0.516709345 -0.955977575 -0.888255721
## [356] -0.756135568 -0.789894582 2.607862820 -0.942772675 1.163010501
## [361] -2.065476607 1.151186059 0.438417864 -0.854009680 -0.492185858
## [366] -0.708337001 -0.627774818 -2.192306123 2.700440177 3.286207534
## [371] -1.245912508 -1.042774548 -1.164255026 1.985072659 0.925935526
## [376] 0.888440164 -2.089838856 0.483999792 1.848300681 -0.328025642
## [381] 0.767308022 -1.671706299 1.770465319 -1.007321763 1.782055683
## [386] -1.653232760 1.759745750 -0.006995568 1.113139875 -1.781610707
## [391] 0.386039297 0.369844689 -1.499091860 -1.669436800 1.350609046
## [396] 2.158696031 1.314538651 0.173450140 -0.130133918 -1.562150792
## [401] -1.301600987 -1.886748566 2.680816993 1.037622041 -1.634917983
## [406] -0.145573011 2.064404873 0.791862939 -2.179910889 -2.184868983
## [411] -0.832954966 -0.778633681 -0.032724793 1.341582038 0.975572007
## [416] -0.632027926 2.648422726 -0.921588574 -0.144214218 -1.022541469
## [421] -1.984879235 -1.088903843 0.579968278 -0.791065474 -1.513035429
## [426] 0.622222000 2.155542216 -0.659936889 -0.490696660 1.112469866
## [431] -0.485346062 1.550248609 -1.583558920 -1.371043561 -1.017025873
## [436] -0.875376170 -1.164910240 3.408500081 0.638502621 -1.598987594
## [441] 0.211180231 1.941101101 2.308994549 -0.732085263 0.443198603
## [446] 2.403876406 -1.359346405 -0.573228064 -0.591232088 3.021994943
## [451] -0.197906966 -0.209341868 0.848218582 0.066115975 -0.336113247
## [456] 0.427460789 0.415018801 0.148720263 -2.150278386 -1.267621674
## [461] -2.046673375 -0.390588782 -0.686440899 -0.556957327 3.664449559
## [466] 0.522505972 2.716104695 2.469786466 -0.955326849 -1.114668310
## [471] -1.471717864 -1.599813943 -1.025952606 -0.734317916 -1.274232466
## [476] -0.143678059 0.536500814 -0.982752463 -0.726151046 -0.781912460
## [481] -1.896698650 -0.082609785 -0.028423837 3.184114370 -0.796080886
## [486] 2.252905439 -0.154616411 2.340036838 -1.280016908 2.512396435
## [491] -1.494985556 -1.237622292 1.267859891 -2.171647400 -1.058855892
## [496] -0.388707308 -0.211680600 -1.676064236 -0.281294057 1.257730880
## [501] 2.278696143 1.434933438 1.268504013 1.920925370 0.209019199
## [506] -0.768218171 -0.907988452 -0.942389187 -2.180737238 0.222646044
## [511] 2.407741051 -0.871838925 2.166835286 0.518969956 1.275796804
## [516] -0.565077168 -0.950971276 0.104039221 -1.855949878 2.726633388
## [521] -0.374523696 1.472148386 -0.271709891 0.873523356 1.504387949
## [526] 3.657915782 1.897145736 -1.217553028 2.257587627 -1.500482593
## [531] -0.218434082 -1.137368632 3.132456689 -1.104004587 -0.508759846
## [536] 1.681474070 -0.265534027 2.542959902 1.573912241 3.329555277
## [541] -1.149886328 -2.185695331 -0.665396450 -1.323252191 0.290128469
## [546] 0.702260442 2.604507411 2.025966641 -1.779151384 3.202674133
## [551] 3.362025767 -0.631283339 -1.443220224 0.252550667 0.961174074
## [556] -2.179910889 0.263281260 -0.921399911 -1.694017720 2.229702111
## [561] -2.054286986 -1.091137141 2.122587928 -1.199117557 1.673845329
## [566] -0.053270584 1.827997486 0.913308574 -1.502850478 -0.533484371
## [571] 0.544662525 -1.025617080 1.995752636 1.074332370 1.546446407
## [576] 0.657681147 -1.008960174 1.015632917 -2.155730345 -1.882222441
## [581] -1.264316279 -0.650186458 -2.194785170 -2.120650619 -0.850660892
## [586] 0.646164920 -2.066710087 2.864111448 2.481246350 3.258766168
## [591] -0.739914165 1.830504634 0.225588535 -1.755167541 -1.050844002
## [596] -1.011641489 -1.307500380 1.431220027 -0.310959295 -0.618218890
## [601] -2.148285852 1.582172879 1.697947741 1.019238499 2.277235189
## [606] 0.541065110 0.088344264 3.369738816 2.861716043 -1.768292598
## [611] -1.079432495 -0.302328719 1.900456036 0.724000688 -1.214170222
## [616] -1.885499395 2.900554160 1.600556406 -0.945466070 -1.396189849
## [621] 2.039311129 0.730658097 -1.638517480 -2.007603845 0.275487690
## [626] -0.070682533 2.883492436 3.459590282 1.603114530 1.843248199
## [631] 0.124450836 2.464690667 -1.922404657 -0.088247863 2.681607106
## [636] 0.688451585 1.588390422 2.358637105 -0.672257476 -0.101957181
## [641] 0.082126335 -1.028806835 1.524682283 -1.665774215 0.250225114
## [646] -1.753514843 0.733360701 -0.744266292 -0.105608419 -1.269632476
## [651] -1.275885164 -1.218584626 -1.604284883 -1.741017171 -0.509481193
## [656] 2.232972153 0.812972782 -2.153321210 -1.156729662 -2.018932848
## [661] -1.445108950 -2.177431842 1.367403811 -0.579147415 -1.180627555
## [666] -1.313089719 -0.505065310 -1.643976554 1.169102046 -0.701617260
## [671] -0.523295116 -1.268448023 -1.484346965 0.430135923 3.077450325
## [676] -0.691618253 -1.904570742 -0.619702252 0.906755103 -1.186639480
## [681] 1.390674210 -1.360962414 1.516842469 -1.333729588 -1.684101533
## [686] -0.604423912 -1.418194032 -0.389125464 1.183898927 -2.170821051
## [691] 0.074205758 -0.834537702 -1.165519115 -1.342602374 -2.167515655
## [696] 2.317047742 -1.600302648 1.321749700 1.579207336 1.210790517
## [701] 0.439287844 0.234990959 -2.142619673 -1.580489627 -0.082916959
## [706] 0.997861324 0.881378370 0.006018899 0.069042241 -2.185695331
## [711] -0.274007379 -0.370339377 -0.479711592 0.015368512 1.191172140
## [716] 1.230004587 0.358314608 -0.752482592 2.179619376 -2.147970441
## [721] -0.430995578 -0.934586341 -1.685949334 0.894142747 -1.680623950
## [726] -1.429088383 -1.001909455 0.679910616 1.543088643 1.049696523
## [731] -2.060438882 -0.186597645 2.048719231 0.247858324 -0.503075603
## [736] 0.907073946 2.751283546 0.922089225 2.745337154 0.426971904
## [741] -1.140048192 -0.411986845 -0.302329766 -1.643972230 3.428094186
## [746] 3.586307177 -0.944158278 -0.878537118 2.047305030 -0.518047766
## [751] 1.983285330 -1.064460315 -0.963854549 0.298740306 -0.345996608
## [756] -2.124387321 -0.428057904 2.472954157 -2.165036608 -0.029688187
## [761] -1.261342692 1.569625251 -0.354307039 -1.594732604 -0.287494106
## [766] -1.801751759 0.501000967 -0.752287842 -1.880369068 -0.256461578
## [771] -2.179910889 -0.842846817 0.653585961 3.236907612 -1.782117234
## [776] -1.101132029 2.328374615 -1.723759091 1.766798933 -1.626503007
## [781] -0.590954027 -1.646089483 0.311061105 1.953432764 1.157955043
## [786] -0.189852042 -0.182131386 1.658299685 0.844790437 1.718097422
## [791] -1.984661766 0.017621739 -1.577856377 -1.402019743 0.237963047
## [796] -1.514484261 -2.178258191 2.222486439 2.097419072 -0.398429662
## [801] -0.995556301 0.428675364 -0.867509713 1.936363311 -0.919366763
## [806] 3.050031277 1.213514445 -1.359346405 2.205777418 2.847600120
## [811] -0.844588905 -0.992189274 -1.823130668 0.015231636 -1.034653249
## [816] 2.040415272 0.422277993 2.222438148 2.536566506 0.764170916
## [821] 1.626584603 -1.287315744 -0.248379102 -0.301176802 -0.391736998
## [826] -1.690154773 1.888469307 -0.611852042 1.991976537 -0.980644345
## [831] 1.775803697 0.718857287 -0.833687139 2.260440877 1.337255339
## [836] -1.774999915 0.399803256 -0.936380515 2.179479803 3.007587734
## [841] -1.870374160 -1.620610449 -1.023022392 -1.770685763 1.904973786
## [846] -1.591395342 2.562990804 2.448714628 3.439316005 1.325410808
## [851] -2.064585965 -1.270831634 -0.237987106 2.361032923 2.329768106
## [856] -1.669227253 2.122174298 1.525047644 -1.485682414 2.126009898
## [861] -0.215244250 -0.830151303 0.114865431 -1.039427478 0.189592082
## [866] -2.054663910 1.671397530 -1.999511429 2.731246468 1.969118266
## [871] -0.337513664 0.535123171 1.452114263 -1.865223934 -0.025739745
## [876] 0.496305932 1.054255883 -0.411139432 -0.214392747 -1.238466984
## [881] -0.888712772 2.972601376 -0.319042954 -2.177431842 -0.584445282
## [886] 0.945607898 0.730940347 2.332972033 0.440689837 1.744270485
## [891] 0.513182458 -2.102234090 1.657301836 0.457673081 3.373432813
## [896] 2.032276355 -0.328255504 1.561043715 -2.161418582 -0.463411359
## [901] -0.150461184 2.213129897 1.876172251 -0.187329921 -1.456756243
## [906] -0.681542804 -1.976012455 3.200311644 -0.680013377 -0.130524791
## [911] 3.100243750 -1.855501748 0.037563168 -1.051463681 -0.066445476
## [916] 1.562581534 0.005022434 0.291831878 -0.337506198 -1.852374807
## [921] -0.598952410 1.581207693 0.064352107 0.131277009 -0.872901977
## [926] -0.642461298 2.737072439 0.289252548 -0.597043994 0.295272782
## [931] -0.201092547 -0.720861909 -1.586777085 -0.757831523 -0.985695182
## [936] 2.761538392 -1.774157026 -1.489469632 -1.635417436 -0.109841490
## [941] 1.594222937 2.020968881 -1.192758099 -2.085159026 0.759792476
## [946] 1.097492431 -1.182006938 -1.489737082 -0.966949186 -0.773495578
## [951] -0.956566434 0.138955666 -1.770041822 0.023024650 -1.448095094
## [956] -0.048176408 0.382809605 -1.582744705 -1.705751462 -0.959129446
## [961] 1.347199679 -1.753514843 -0.238289481 -2.027096882 -2.107152008
## [966] 1.946124762 -0.876649752 -1.012279856 1.476775848 1.098309169
## [971] -0.401736841 1.358726322 3.017669951 -1.353561963 -0.802218360
## [976] 2.652503815 -0.288206298 -1.640015899 -1.068402284 -0.320950109
## [981] -1.077561421 -0.020574489 0.538608819 -1.390649128 -2.182389936
## [986] -1.450317558 -1.242685039 1.352736248 -0.403532037 -1.459926614
## [991] -1.814797974 -1.833118709 0.494162723 0.077984841 -0.544750016
## [996] -0.124208071 -1.306221341 -0.632786400 0.098675866
predict(telecom_pca)[,1]
## [1] -2.015467453 -0.286167867 -1.580345244 -0.287614123 -1.294160708
## [6] -0.494044929 -0.020111087 -1.733455753 0.688536938 0.800699638
## [11] -1.254566657 -1.764971394 2.061385552 1.724378831 0.527494462
## [16] 3.161504599 -0.716173101 2.952410314 -1.254731788 -0.052469384
## [21] -1.611728253 -1.878281489 -2.175779144 0.775447113 0.410974980
## [26] -0.507827005 1.525172980 -2.009683010 2.415256278 -0.777763717
## [31] 2.848230035 -0.641013427 -0.300560723 -2.174952795 -1.519177173
## [36] 2.827024440 -1.194294975 0.756572527 0.995843188 -0.372576730
## [41] -1.361697679 1.595061949 -1.686527850 1.605413825 -0.714410979
## [46] 1.086026186 -1.658263057 -1.134762350 1.167167537 1.311538924
## [51] 1.264868979 -0.168370241 -0.085154857 -0.614912060 1.580551201
## [56] 0.176758767 2.346069747 3.020282165 -1.093507929 3.124480162
## [61] 1.531689184 1.870638938 0.648254123 -0.961557792 -0.545892972
## [66] -1.169962034 0.875427786 0.182493361 -0.796456606 -0.750675757
## [71] -1.698149465 -0.700659398 3.032428488 -0.313836135 -1.364614999
## [76] 2.554954116 0.197136523 -1.322542296 0.217664019 -0.734366957
## [81] -1.197382016 -1.296764834 -1.008206279 1.361647046 -0.806959336
## [86] -0.448546799 -0.084717836 -0.797431545 -0.891905672 -1.031259395
## [91] 0.227101041 -1.032457656 1.987686410 2.806811496 2.903210552
## [96] -0.708173758 1.543929464 -2.042972026 -0.686131807 0.606006347
## [101] -2.174952795 -2.187348029 0.918938002 0.828260114 3.004049207
## [106] -1.994145410 2.910881473 -1.044980444 1.113535949 -0.182569918
## [111] 1.806754913 0.473311559 1.079176733 0.624327885 0.802448837
## [116] -0.932457938 -0.881816122 -0.368163059 -1.021001971 0.088899116
## [121] 1.959011199 -2.026197593 -1.188782751 -1.447591995 -2.083725783
## [126] 0.539725647 0.209918439 -0.010898566 -2.182389936 1.396133635
## [131] -0.488380801 -0.576201423 0.757771042 -1.922916373 -1.742382162
## [136] -0.791376856 -0.275699196 -0.376504769 -0.576670736 -1.102697315
## [141] 2.637556123 -1.031083507 2.224966267 1.824074123 0.223919674
## [146] 2.412380218 -2.127246954 -1.754341192 -0.242980107 -0.751647226
## [151] -1.073099568 -0.640030879 3.111701929 1.786414072 -2.042218618
## [156] -0.565777248 -0.137336369 -1.581914961 -0.827824399 -1.813761641
## [161] -1.105125107 -0.277685139 -1.315154533 1.019911639 -1.878916383
## [166] -0.242720302 -1.210277456 2.362522478 0.533272788 -1.742987721
## [171] 0.839076685 -0.720591805 -0.540357577 1.661339506 -1.279821564
## [176] -1.130555556 -0.408013662 -0.743385170 -0.028474511 -0.446593399
## [181] -2.013814755 -1.760125634 -0.785685539 0.143094098 -0.627242566
## [186] -2.098928694 -0.938926300 -1.945864424 -1.845639560 -0.013645536
## [191] 0.532751459 -0.763753011 -0.241701043 3.239883891 -0.529586745
## [196] 0.041504261 -1.423797011 2.505245073 3.255949403 -2.165862957
## [201] 0.513172914 -0.591288638 2.940458725 -0.665132866 0.444015173
## [206] 0.294475844 1.216941856 -1.188292177 0.191402077 2.513449429
## [211] -1.714650062 -2.091491554 -0.496532742 -1.390183335 0.214739477
## [216] 0.714439146 0.750808255 0.986205791 1.855475220 -0.869756792
## [221] -1.223800243 0.018466833 -2.174952795 -1.575912620 -1.880644639
## [226] -0.790721995 0.228193786 -1.596508547 0.398788586 1.111447309
## [231] 2.117501542 1.498031583 -1.110615378 -0.109889215 -1.259735971
## [236] -1.569694178 -1.736715414 -0.556239678 -0.172771995 -1.764254088
## [241] 2.350509329 3.159196787 0.536800409 2.494646248 -0.892448846
## [246] -0.896128512 0.189676268 -0.429468453 -1.706412954 1.275306480
## [251] 1.483814874 -1.300333090 -1.602638415 0.317688173 -1.925680891
## [256] 1.147868075 2.752892848 2.138312705 -1.738525078 -0.543376534
## [261] -1.515062327 0.136554351 1.891387507 -0.576583362 1.787988537
## [266] 1.886173788 -0.642898886 0.428243968 -0.555691572 -0.019705730
## [271] 0.045191278 0.734348784 -2.098928694 0.531953653 -1.341993078
## [276] -0.915016951 1.984786439 -0.369501616 -1.096447796 -1.526109774
## [281] -1.406045462 -1.328385636 -2.089012507 0.967514972 -0.061965617
## [286] -0.280762554 -1.087855913 -1.351909265 -0.722508773 -1.449667016
## [291] -0.012310872 -0.156304632 -0.037168857 -0.538131197 -1.874672271
## [296] -2.174126447 1.892157482 1.137964837 0.461889938 -1.292412142
## [301] -0.517387135 -0.534272919 -0.869454569 1.184296677 0.571289095
## [306] -0.589184662 0.321175896 -0.050346927 1.299967751 0.905048451
## [311] -2.190653425 -0.039180670 1.731201079 -0.951062247 -0.988780961
## [316] 2.060995141 -0.199582997 0.522109306 0.414408076 0.687022178
## [321] 1.536586078 1.315341185 -1.768389124 -1.415338168 1.222586093
## [326] 1.805900140 -0.438710303 -1.061712015 -0.787641432 -0.135536917
## [331] -1.198343873 -1.990778442 1.335829067 -1.025166682 -1.132206039
## [336] 1.778571815 1.522412449 2.226159230 0.858588810 2.491325846
## [341] -0.144465070 2.277300407 1.370391266 -0.379837665 -1.018866996
## [346] -1.075427800 -0.969489948 -0.244584145 -0.989634656 2.602197147
## [351] -0.010310742 -1.223173899 -0.516709345 -0.955977575 -0.888255721
## [356] -0.756135568 -0.789894582 2.607862820 -0.942772675 1.163010501
## [361] -2.065476607 1.151186059 0.438417864 -0.854009680 -0.492185858
## [366] -0.708337001 -0.627774818 -2.192306123 2.700440177 3.286207534
## [371] -1.245912508 -1.042774548 -1.164255026 1.985072659 0.925935526
## [376] 0.888440164 -2.089838856 0.483999792 1.848300681 -0.328025642
## [381] 0.767308022 -1.671706299 1.770465319 -1.007321763 1.782055683
## [386] -1.653232760 1.759745750 -0.006995568 1.113139875 -1.781610707
## [391] 0.386039297 0.369844689 -1.499091860 -1.669436800 1.350609046
## [396] 2.158696031 1.314538651 0.173450140 -0.130133918 -1.562150792
## [401] -1.301600987 -1.886748566 2.680816993 1.037622041 -1.634917983
## [406] -0.145573011 2.064404873 0.791862939 -2.179910889 -2.184868983
## [411] -0.832954966 -0.778633681 -0.032724793 1.341582038 0.975572007
## [416] -0.632027926 2.648422726 -0.921588574 -0.144214218 -1.022541469
## [421] -1.984879235 -1.088903843 0.579968278 -0.791065474 -1.513035429
## [426] 0.622222000 2.155542216 -0.659936889 -0.490696660 1.112469866
## [431] -0.485346062 1.550248609 -1.583558920 -1.371043561 -1.017025873
## [436] -0.875376170 -1.164910240 3.408500081 0.638502621 -1.598987594
## [441] 0.211180231 1.941101101 2.308994549 -0.732085263 0.443198603
## [446] 2.403876406 -1.359346405 -0.573228064 -0.591232088 3.021994943
## [451] -0.197906966 -0.209341868 0.848218582 0.066115975 -0.336113247
## [456] 0.427460789 0.415018801 0.148720263 -2.150278386 -1.267621674
## [461] -2.046673375 -0.390588782 -0.686440899 -0.556957327 3.664449559
## [466] 0.522505972 2.716104695 2.469786466 -0.955326849 -1.114668310
## [471] -1.471717864 -1.599813943 -1.025952606 -0.734317916 -1.274232466
## [476] -0.143678059 0.536500814 -0.982752463 -0.726151046 -0.781912460
## [481] -1.896698650 -0.082609785 -0.028423837 3.184114370 -0.796080886
## [486] 2.252905439 -0.154616411 2.340036838 -1.280016908 2.512396435
## [491] -1.494985556 -1.237622292 1.267859891 -2.171647400 -1.058855892
## [496] -0.388707308 -0.211680600 -1.676064236 -0.281294057 1.257730880
## [501] 2.278696143 1.434933438 1.268504013 1.920925370 0.209019199
## [506] -0.768218171 -0.907988452 -0.942389187 -2.180737238 0.222646044
## [511] 2.407741051 -0.871838925 2.166835286 0.518969956 1.275796804
## [516] -0.565077168 -0.950971276 0.104039221 -1.855949878 2.726633388
## [521] -0.374523696 1.472148386 -0.271709891 0.873523356 1.504387949
## [526] 3.657915782 1.897145736 -1.217553028 2.257587627 -1.500482593
## [531] -0.218434082 -1.137368632 3.132456689 -1.104004587 -0.508759846
## [536] 1.681474070 -0.265534027 2.542959902 1.573912241 3.329555277
## [541] -1.149886328 -2.185695331 -0.665396450 -1.323252191 0.290128469
## [546] 0.702260442 2.604507411 2.025966641 -1.779151384 3.202674133
## [551] 3.362025767 -0.631283339 -1.443220224 0.252550667 0.961174074
## [556] -2.179910889 0.263281260 -0.921399911 -1.694017720 2.229702111
## [561] -2.054286986 -1.091137141 2.122587928 -1.199117557 1.673845329
## [566] -0.053270584 1.827997486 0.913308574 -1.502850478 -0.533484371
## [571] 0.544662525 -1.025617080 1.995752636 1.074332370 1.546446407
## [576] 0.657681147 -1.008960174 1.015632917 -2.155730345 -1.882222441
## [581] -1.264316279 -0.650186458 -2.194785170 -2.120650619 -0.850660892
## [586] 0.646164920 -2.066710087 2.864111448 2.481246350 3.258766168
## [591] -0.739914165 1.830504634 0.225588535 -1.755167541 -1.050844002
## [596] -1.011641489 -1.307500380 1.431220027 -0.310959295 -0.618218890
## [601] -2.148285852 1.582172879 1.697947741 1.019238499 2.277235189
## [606] 0.541065110 0.088344264 3.369738816 2.861716043 -1.768292598
## [611] -1.079432495 -0.302328719 1.900456036 0.724000688 -1.214170222
## [616] -1.885499395 2.900554160 1.600556406 -0.945466070 -1.396189849
## [621] 2.039311129 0.730658097 -1.638517480 -2.007603845 0.275487690
## [626] -0.070682533 2.883492436 3.459590282 1.603114530 1.843248199
## [631] 0.124450836 2.464690667 -1.922404657 -0.088247863 2.681607106
## [636] 0.688451585 1.588390422 2.358637105 -0.672257476 -0.101957181
## [641] 0.082126335 -1.028806835 1.524682283 -1.665774215 0.250225114
## [646] -1.753514843 0.733360701 -0.744266292 -0.105608419 -1.269632476
## [651] -1.275885164 -1.218584626 -1.604284883 -1.741017171 -0.509481193
## [656] 2.232972153 0.812972782 -2.153321210 -1.156729662 -2.018932848
## [661] -1.445108950 -2.177431842 1.367403811 -0.579147415 -1.180627555
## [666] -1.313089719 -0.505065310 -1.643976554 1.169102046 -0.701617260
## [671] -0.523295116 -1.268448023 -1.484346965 0.430135923 3.077450325
## [676] -0.691618253 -1.904570742 -0.619702252 0.906755103 -1.186639480
## [681] 1.390674210 -1.360962414 1.516842469 -1.333729588 -1.684101533
## [686] -0.604423912 -1.418194032 -0.389125464 1.183898927 -2.170821051
## [691] 0.074205758 -0.834537702 -1.165519115 -1.342602374 -2.167515655
## [696] 2.317047742 -1.600302648 1.321749700 1.579207336 1.210790517
## [701] 0.439287844 0.234990959 -2.142619673 -1.580489627 -0.082916959
## [706] 0.997861324 0.881378370 0.006018899 0.069042241 -2.185695331
## [711] -0.274007379 -0.370339377 -0.479711592 0.015368512 1.191172140
## [716] 1.230004587 0.358314608 -0.752482592 2.179619376 -2.147970441
## [721] -0.430995578 -0.934586341 -1.685949334 0.894142747 -1.680623950
## [726] -1.429088383 -1.001909455 0.679910616 1.543088643 1.049696523
## [731] -2.060438882 -0.186597645 2.048719231 0.247858324 -0.503075603
## [736] 0.907073946 2.751283546 0.922089225 2.745337154 0.426971904
## [741] -1.140048192 -0.411986845 -0.302329766 -1.643972230 3.428094186
## [746] 3.586307177 -0.944158278 -0.878537118 2.047305030 -0.518047766
## [751] 1.983285330 -1.064460315 -0.963854549 0.298740306 -0.345996608
## [756] -2.124387321 -0.428057904 2.472954157 -2.165036608 -0.029688187
## [761] -1.261342692 1.569625251 -0.354307039 -1.594732604 -0.287494106
## [766] -1.801751759 0.501000967 -0.752287842 -1.880369068 -0.256461578
## [771] -2.179910889 -0.842846817 0.653585961 3.236907612 -1.782117234
## [776] -1.101132029 2.328374615 -1.723759091 1.766798933 -1.626503007
## [781] -0.590954027 -1.646089483 0.311061105 1.953432764 1.157955043
## [786] -0.189852042 -0.182131386 1.658299685 0.844790437 1.718097422
## [791] -1.984661766 0.017621739 -1.577856377 -1.402019743 0.237963047
## [796] -1.514484261 -2.178258191 2.222486439 2.097419072 -0.398429662
## [801] -0.995556301 0.428675364 -0.867509713 1.936363311 -0.919366763
## [806] 3.050031277 1.213514445 -1.359346405 2.205777418 2.847600120
## [811] -0.844588905 -0.992189274 -1.823130668 0.015231636 -1.034653249
## [816] 2.040415272 0.422277993 2.222438148 2.536566506 0.764170916
## [821] 1.626584603 -1.287315744 -0.248379102 -0.301176802 -0.391736998
## [826] -1.690154773 1.888469307 -0.611852042 1.991976537 -0.980644345
## [831] 1.775803697 0.718857287 -0.833687139 2.260440877 1.337255339
## [836] -1.774999915 0.399803256 -0.936380515 2.179479803 3.007587734
## [841] -1.870374160 -1.620610449 -1.023022392 -1.770685763 1.904973786
## [846] -1.591395342 2.562990804 2.448714628 3.439316005 1.325410808
## [851] -2.064585965 -1.270831634 -0.237987106 2.361032923 2.329768106
## [856] -1.669227253 2.122174298 1.525047644 -1.485682414 2.126009898
## [861] -0.215244250 -0.830151303 0.114865431 -1.039427478 0.189592082
## [866] -2.054663910 1.671397530 -1.999511429 2.731246468 1.969118266
## [871] -0.337513664 0.535123171 1.452114263 -1.865223934 -0.025739745
## [876] 0.496305932 1.054255883 -0.411139432 -0.214392747 -1.238466984
## [881] -0.888712772 2.972601376 -0.319042954 -2.177431842 -0.584445282
## [886] 0.945607898 0.730940347 2.332972033 0.440689837 1.744270485
## [891] 0.513182458 -2.102234090 1.657301836 0.457673081 3.373432813
## [896] 2.032276355 -0.328255504 1.561043715 -2.161418582 -0.463411359
## [901] -0.150461184 2.213129897 1.876172251 -0.187329921 -1.456756243
## [906] -0.681542804 -1.976012455 3.200311644 -0.680013377 -0.130524791
## [911] 3.100243750 -1.855501748 0.037563168 -1.051463681 -0.066445476
## [916] 1.562581534 0.005022434 0.291831878 -0.337506198 -1.852374807
## [921] -0.598952410 1.581207693 0.064352107 0.131277009 -0.872901977
## [926] -0.642461298 2.737072439 0.289252548 -0.597043994 0.295272782
## [931] -0.201092547 -0.720861909 -1.586777085 -0.757831523 -0.985695182
## [936] 2.761538392 -1.774157026 -1.489469632 -1.635417436 -0.109841490
## [941] 1.594222937 2.020968881 -1.192758099 -2.085159026 0.759792476
## [946] 1.097492431 -1.182006938 -1.489737082 -0.966949186 -0.773495578
## [951] -0.956566434 0.138955666 -1.770041822 0.023024650 -1.448095094
## [956] -0.048176408 0.382809605 -1.582744705 -1.705751462 -0.959129446
## [961] 1.347199679 -1.753514843 -0.238289481 -2.027096882 -2.107152008
## [966] 1.946124762 -0.876649752 -1.012279856 1.476775848 1.098309169
## [971] -0.401736841 1.358726322 3.017669951 -1.353561963 -0.802218360
## [976] 2.652503815 -0.288206298 -1.640015899 -1.068402284 -0.320950109
## [981] -1.077561421 -0.020574489 0.538608819 -1.390649128 -2.182389936
## [986] -1.450317558 -1.242685039 1.352736248 -0.403532037 -1.459926614
## [991] -1.814797974 -1.833118709 0.494162723 0.077984841 -0.544750016
## [996] -0.124208071 -1.306221341 -0.632786400 0.098675866
#The aboved two gives us the same thing. predict is a good function to know.
telecom$Churn <- as.factor(telecom$Churn)
out <- sapply(1:4, function(i){plot(telecom$Churn,telecom_pca$x[,i],xlab=paste("PC",i,sep=""),ylab="Churn")})
pairs(telecom_pca$x[,1:4], ylim = c(-6,4),xlim = c(-6,4),panel=function(x,y,...){text(x,y,telecom$Churn)})
# Better Ways to Visualize
library(factoextra)
## Loading required package: ggplot2
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
library(FactoMineR)
library(ggfortify)
library(psych)
##
## Attaching package: 'psych'
## The following objects are masked from 'package:ggplot2':
##
## %+%, alpha
## The following object is masked from 'package:car':
##
## logit
library(corrplot)
## corrplot 0.92 loaded
library(devtools)
## Loading required package: usethis
# Correlation
pairs.panels(telecom[,-1],
gap = 0,
bg = c("red", "blue")[telecom$Churn],
pch=21)
pairs.panels(telecom_pca$x,
gap=0,
bg = c("red", "blue")[telecom$Churn],
pch=21)
fviz_eig(telecom_pca, addlabels = TRUE)
fviz_pca_var(telecom_pca,col.var = "cos2",
gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"),
repel = TRUE)
fviz_pca_ind(telecom_pca, col.ind = "cos2",
gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"),
repel = TRUE)
biplot(telecom_pca)
autoplot(telecom_pca,
data = telecom[,-1],
loadings = TRUE,
labels = telecom$Churn)
# Different PCA Method.
res.pca <- PCA(telecom[,-1], graph = FALSE)
print(res.pca)
## **Results for the Principal Component Analysis (PCA)**
## The analysis was performed on 999 individuals, described by 4 variables
## *The results are available in the following objects:
##
## name description
## 1 "$eig" "eigenvalues"
## 2 "$var" "results for the variables"
## 3 "$var$coord" "coord. for the variables"
## 4 "$var$cor" "correlations variables - dimensions"
## 5 "$var$cos2" "cos2 for the variables"
## 6 "$var$contrib" "contributions of the variables"
## 7 "$ind" "results for the individuals"
## 8 "$ind$coord" "coord. for the individuals"
## 9 "$ind$cos2" "cos2 for the individuals"
## 10 "$ind$contrib" "contributions of the individuals"
## 11 "$call" "summary statistics"
## 12 "$call$centre" "mean of the variables"
## 13 "$call$ecart.type" "standard error of the variables"
## 14 "$call$row.w" "weights for the individuals"
## 15 "$call$col.w" "weights for the variables"
# Visualize and Interpret PCA using these functions
#get_eigenvalue(res.pca): Extract the eigenvalues/variances of principal components
#fviz_eig(res.pca): Visualize the eigenvalues
#get_pca_ind(res.pca), get_pca_var(res.pca): Extract the results for individuals and variables, respectively.
#fviz_pca_ind(res.pca), fviz_pca_var(res.pca): Visualize the results individuals and variables, respectively.
#fviz_pca_biplot(res.pca): Make a biplot of individuals and variables.
eig.val <- get_eigenvalue(res.pca)
eig.val
## eigenvalue variance.percent cumulative.variance.percent
## Dim.1 2.18880975 54.720244 54.72024
## Dim.2 1.07192119 26.798030 81.51827
## Dim.3 0.67915089 16.978772 98.49705
## Dim.4 0.06011817 1.502954 100.00000
fviz_eig(res.pca, addlabels = TRUE, ylim = c(0, 50))
var <- get_pca_var(res.pca)
#var$coord: coordinates of variables to create a scatter plot
#var$cos2: represents the quality of representation for variables on the factor map. It’s calculated as the squared coordinates: var.cos2 = var.coord * var.coord.
#var$contrib: contains the contributions (in percentage) of the variables to the principal components.
#The contribution of a variable (var) to a given principal component is (in percentage) : (var.cos2 * 100) / (total cos2 of the component).
var
## Principal Component Analysis Results for variables
## ===================================================
## Name Description
## 1 "$coord" "Coordinates for the variables"
## 2 "$cor" "Correlations between variables and dimensions"
## 3 "$cos2" "Cos2 for the variables"
## 4 "$contrib" "contributions of the variables"
# Coordinates
head(var$coord)
## Dim.1 Dim.2 Dim.3 Dim.4
## SeniorCitizen 0.1325660 0.91799555 0.37377113 -0.002359512
## tenure 0.8358793 -0.32338157 0.42115076 0.139147812
## MonthlyCharges 0.7184745 0.33934293 -0.60093743 0.086688764
## TotalCharges 0.9779244 -0.09734524 0.03085889 -0.182306182
# Cos2: quality on the factore map
head(var$cos2)
## Dim.1 Dim.2 Dim.3 Dim.4
## SeniorCitizen 0.01757375 0.842715829 0.139704855 5.567297e-06
## tenure 0.69869428 0.104575639 0.177367965 1.936211e-02
## MonthlyCharges 0.51620563 0.115153626 0.361125798 7.514942e-03
## TotalCharges 0.95633609 0.009476097 0.000952271 3.323554e-02
# Contributions to the principal components
head(var$contrib)
## Dim.1 Dim.2 Dim.3 Dim.4
## SeniorCitizen 0.8028906 78.6173309 20.5705179 0.00926059
## tenure 31.9211974 9.7559075 26.1161352 32.20675989
## MonthlyCharges 23.5838511 10.7427325 53.1731319 12.50028450
## TotalCharges 43.6920608 0.8840292 0.1402149 55.28369502
#The plot Below is also known as variable correlation plots. It shows the relationships between all variables. It can be interpreted as follow:
#Positively correlated variables are grouped together.
#Negatively correlated variables are positioned on opposite sides of the plot origin (opposed quadrants).
#The distance between variables and the origin measures the quality of the variables on the factor map.
#Variables that are away from the origin are well represented on the factor map.
# Correlation circle
fviz_pca_var(res.pca, col.var = "black")
# Quality of representation
corrplot(var$cos2, is.corr=FALSE)
# Total cos2 of variables on Dim.1 and Dim.2
#A high cos2 indicates a good representation of the variable on the principal component.
#In this case the variable is positioned close to the circumference of the correlation circle.
#A low cos2 indicates that the variable is not perfectly represented by the PCs.
#In this case the variable is close to the center of the circle.
fviz_cos2(res.pca, choice = "var", axes = 1:2)
fviz_pca_var(res.pca, col.var = "cos2",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
repel = TRUE # Avoid text overlapping
)
# Change the transparency by cos2 values
fviz_pca_var(res.pca, alpha.var = "cos2")
corrplot(var$contrib, is.corr=FALSE)
# Contributions of variables to PC1
fviz_contrib(res.pca, choice = "var", axes = 1, top = 10)
# Contributions of variables to PC2
fviz_contrib(res.pca, choice = "var", axes = 2, top = 10)
fviz_pca_var(res.pca, col.var = "contrib",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07")
)
fviz_pca_var(res.pca, alpha.var = "contrib")
fviz_pca_ind(res.pca,
geom.ind = "point", # show points only (nbut not "text")
col.ind = telecom$Churn, # color by groups
palette = c("#00AFBB", "#E7B800", "#FC4E07"),
addEllipses = TRUE, # Concentration ellipses
legend.title = "Groups"
)
# Description of PC
res.desc <- dimdesc(res.pca, axes = c(1,2,3,4), proba = 0.05)
# Description of dimension 1
res.desc$Dim.1
##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## TotalCharges 0.9779244 0.000000e+00
## tenure 0.8358793 5.825435e-262
## MonthlyCharges 0.7184745 2.233972e-159
## SeniorCitizen 0.1325660 2.630198e-05
res.desc$Dim.2
##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## SeniorCitizen 0.91799555 0.000000e+00
## MonthlyCharges 0.33934293 2.411027e-28
## TotalCharges -0.09734524 2.068245e-03
## tenure -0.32338157 9.452175e-26
res.desc$Dim.3
##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## tenure 0.4211508 3.206661e-44
## SeniorCitizen 0.3737711 1.774212e-34
## MonthlyCharges -0.6009374 4.192192e-99
res.desc$Dim.4
##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## tenure 0.13914781 1.014671e-05
## MonthlyCharges 0.08668876 6.112200e-03
## TotalCharges -0.18230618 6.489357e-09
res.desc$Dim.5
## NULL
# Graph of Indiviuals
ind <- get_pca_ind(res.pca)
ind
## Principal Component Analysis Results for individuals
## ===================================================
## Name Description
## 1 "$coord" "Coordinates for the individuals"
## 2 "$cos2" "Cos2 for the individuals"
## 3 "$contrib" "contributions of the individuals"
## Principal Component Analysis Results for individuals
## ===================================================
## Name Description
## 1 "$coord" "Coordinates for the individuals"
## 2 "$cos2" "Cos2 for the individuals"
## 3 "$contrib" "contributions of the individuals"
#To get access to the different components, use this:
# Coordinates of individuals
head(ind$coord)
## Dim.1 Dim.2 Dim.3 Dim.4
## 1 -2.0164770 -0.30650514 0.01205626 -0.39542673
## 2 -0.2863112 -0.50159508 0.06162007 0.07534611
## 3 -1.5811368 -0.05917176 -0.55150822 -0.11415105
## 4 -0.2877582 -0.79879423 0.64491878 0.16971001
## 5 -1.2948089 0.12379343 -0.96183626 0.07099114
## 6 -0.4942924 0.33811617 -1.53341832 0.33310630
# Quality of individuals
head(ind$cos2)
## Dim.1 Dim.2 Dim.3 Dim.4
## 1 0.94197953 0.021763587 3.367285e-05 0.036223214
## 2 0.23895965 0.733422844 1.106859e-02 0.016548918
## 3 0.88630674 0.001241293 1.078324e-01 0.004619607
## 4 0.07104055 0.547420153 3.568297e-01 0.024709609
## 5 0.63940313 0.005844651 3.528301e-01 0.001922081
## 6 0.08660999 0.040525839 8.335304e-01 0.039333792
# Contributions of individuals
head(ind$contrib)
## Dim.1 Dim.2 Dim.3 Dim.4
## 1 0.185957210 0.0087729810 2.142363e-05 0.260351942
## 2 0.003748894 0.0234951487 5.596451e-04 0.009452583
## 3 0.114331366 0.0003269645 4.483036e-02 0.021696448
## 4 0.003786883 0.0595856249 6.130251e-02 0.047956084
## 5 0.076672189 0.0014310897 1.363548e-01 0.008391452
## 6 0.011173631 0.0106758763 3.465689e-01 0.184754261
fviz_pca_ind(res.pca)
fviz_pca_ind(res.pca, col.ind = "cos2",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
repel = TRUE # Avoid text overlapping (slow if many points)
)
fviz_pca_ind(res.pca, pointsize = "cos2",
pointshape = 21, fill = "#E7B800",
repel = TRUE # Avoid text overlapping (slow if many points)
)
fviz_pca_ind(res.pca, col.ind = "cos2", pointsize = "cos2",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
repel = TRUE # Avoid text overlapping (slow if many points)
)
fviz_cos2(res.pca, choice = "ind")
# Total contribution on PC1 and PC2
fviz_contrib(res.pca, choice = "ind", axes = 1:2)
# Create a random continuous variable of length 23,
# Same length as the number of active individuals in the PCA
set.seed(123)
my.cont.var <- rnorm(49)